Coordinates (1) Fill in the gaps. REMEMBER- you crawl before you climb (think of snakes and ladders) (0, 5) (11½, 4½) (0, 0) (8½, 5½)

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1 Coordinates () Fill in the gaps REMEMBER you crawl before you climb (think of snakes and ladders) (, 6) (5, 9) (5, ½) (7, 8) (, 0) (0, 7) (, 6) (, ½) (0, 5) (½, ½) (8, ) (0, 0) (8½, 5½) (6, ) (½, 7) Supplied by The NZ Centre of Mathematics Page

2 Coordinates () Fill in the gaps REMEMBER you crawl before you climb (think of snakes and ladders) (, 6) (5, 9) (5, ½) (7, 8) (, 9) (, 0) (, ) (8, 0) (½, 8½) (0, 7) (, 6) (, ½) (0, ) (0, 5) (½, ½) (8, ) (7, 0) (, ) (, ) (0, 0) (8½, 5½) (6, ) (, ) (½, 7) Supplied by The NZ Centre of Mathematics Page

3 Coordinates () Plot the points on the grid above using the coordinates below. Using a ruler, join them up as you go to make 8 separate shapes. Shape A Shape C Shape E Shape G (, 7) (7, ) (, 0) (0, 8) (, 5) (9, 5) (, ) (0, 0) (5, 5) (, ) (, ) (, 0) (5, 7) (9, ) (, 0) (0, 8) (, 7) (7, ) (, 0) Shape B Shape D Shape F Shape H (8, 0) (, 7) (7, 0) (, ) (8, 7) (, 7) (5, 0) (0, 5) (9, 7) (, 8) (, ) (0, 0) (9, 0) (, 9) (6, ) (, ) (8, 0) (, 0) (8, ) (, ) (, 0) (7, 0) (, 9) (, 8) (, 7) Supplied by The NZ Centre of Mathematics Page

4 Coordinates () Plot the points on the grid above using the coordinates below. Using a ruler, join them up as you go to make 8 separate shapes. Shape A Shape C Shape E Shape G (, 7) (7, ) (, 0) (0, 8) (, 5) (9, 5) (, ) (0, 0) (5, 5) (, ) (, ) (, 0) (5, 7) (9, ) (, 0) (0, 8) (, 7) (7, ) (, 0) Shape B Shape D Shape F Shape H (8, 0) (, 7) (7, 0) (, ) (8, 7) (, 7) (5, 0) (0, 5) (9, 7) (, 8) (, ) (0, 0) (9, 0) (, 9) (6, ) (, ) (8, 0) (, 0) (8, ) (, ) (, 0) (7, 0) (, 9) (, 8) (, 7) Supplied by The NZ Centre of Mathematics Page

5 Coordinates () Fill in the gaps a (, ) b (, ) c (, ) k (7, 0) s (9, 0) d (, ) l (8, ) t (8, ) e (0, ) m (6, 5) u (6, ) f (, 0) n (, 6) v (, 5) g (0, ) o (, 5) w (, 5) h (, 0) p (5, 6) x (, 5) i (, ) q (6, ) y (5, ) j (5, ) r (8, ) z (0, 6) Supplied by The NZ Centre of Mathematics Page 5

6 Coordinates () Fill in the gaps a (, ) b (, ) c (, ) k (7, 0) s (9, 0) d (, ) l (8, ) t (8, ) e (0, ) m (6, 5) u (6, ) f (, 0) n (, 6) v (, 5) g (0, ) o (, 5) w (, 5) h (, 0) p (5, 6) x (, 5) i (, ) q (6, ) y (5, ) j (5, ) r (8, ) z (0, 6) Supplied by The NZ Centre of Mathematics Page 6

7 Coordinates () Plot the points on the grid above using the coordinates below. Using a ruler, join them up as you go to make 6 separate shapes. Shape A Shape C Shape E (6, ) (, ) (9, 5) (6, 5) (5, 6) (, 6) (, 6) (7, ) (, ) (6, ) (5, ) (9, ) (, ) (9, 5) Shape B Shape D Shape F (8, ) (, ) (6, ) (6, 0) (, 0) (, 6) (8, 0) (, ) (, ) (8, ) (, ) (, ) (0, ) (, ) (, ) (0, 0) (, ) (, ) (8, ) (, ) (6, ) Supplied by The NZ Centre of Mathematics Page 7

8 Coordinates () Plot the points on the grid above using the coordinates below. Using a ruler, join them up as you go to make 6 separate shapes. Shape A Shape C Shape E (6, ) (, ) (9, 5) (6, 5) (5, 6) (, 6) (, 6) (7, ) (, ) (6, ) (5, ) (9, ) (, ) (9, 5) Shape B Shape D Shape F (8, ) (, ) (6, ) (6, 0) (, 0) (, 6) (8, 0) (, ) (, ) (8, ) (, ) (, ) (0, ) (, ) (, ) (0, 0) (, ) (, ) (8, ) (, ) (6, ) Supplied by The NZ Centre of Mathematics Page 8

9 D e c i m a l Squares If each shaded square is worth, which decimal numbers are represented by the following illustrations? ) 0.8 ) 5) 9) ) 6) 0) ) 7) ) ) 8) ) Supplied by The NZ Centre of Mathematics Page 9

10 D e c i m a l Squares If each shaded square is worth, which decimal numbers are represented by the following illustrations? ) 0.8 ) 0.8 5). 9).7 ) 0. 6). 0). ) 0.5 7).6 ). ) 0.9 8). ). Supplied by The NZ Centre of Mathematics Page 0

11 Decimal Number Lines )0. ) ) ) ) 5) 6) Supplied by The NZ Centre of Mathematics Page

12 Decimal Number Lines A) A) 0. B). C). D).0 E) 5.0 F) 8. G) 9.6 A) 0.6 B). C).8 D). E) 5. F) 6. G) 8. A) 0.8 B).8 C).5 D).5 E) 5.6 F) 6. G) 9.9 A) 0.9 B).6 C).7 D). E).8 F) 7.0 G) 8.8 5A).0 B).5 C).6 D).9 E) 6.0 F) 7.5 G) 9.0 6A). B).0 C).5 D).0 E) 7. F) 8.0 G) 0.0 Supplied by The NZ Centre of Mathematics Page

13 Decimal Number Lines Mark each value on the number lines A) has been done as an example A ). B ).0 C ). D ).5 E ) 5. F ) 7.6 A A ) 0. B ).5 C ).7 D ). E ) 5.0 F ) 8. A ) 0.6 B ). C ). D ). E ) 6. F ) 7.5 A ) 0.9 B ).7 C ).6 D ). E ).0 F ) A ) 0. B ).9 C ) 5.9 D ) 6.8 E ) 7.9 F ) A ).8 B ) 5. C ) 6.5 D ) 7.7 E ) 8. F ) 9.0 Supplied by The NZ Centre of Mathematics Page

14 Decimal Number Lines Mark each value on the number lines A) has been done as an example A ). B ).0 C ). D ).5 E ) 5. F ) 7.6 A ) 0. B ).5 C ).7 D ). E ) 5.0 F ) 8. A ) 0.6 B ). C ). D ). E ) 6. F ) 7.5 A ) 0.9 B ).7 C ).6 D ). E ).0 F ) A ) 0. B ).9 C ) 5.9 D ) 6.8 E ) 7.9 F ) A ).8 B ) 5. C ) 6.5 D ) 7.7 E ) 8. F ) 9.0 Supplied by The NZ Centre of Mathematics Page

15 Adding decimal numbers ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) Fill in the gaps ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) Supplied by The NZ Centre of Mathematics Page 5

16 Adding decimal numbers ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) Fill in the gaps ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) Supplied by The NZ Centre of Mathematics Page 6

17 Adding decimals numbers ) ) 6 7. ) ) * * ) 8. 7) ) ) * 00 * 88 * 75 * ) ) ) 6. 8) * 8 * 865 * ) ) 9 8. ) ) * 7 * 5) ) ) ) * 09 * 50 * 090 * Extra Round your answers to the nearest whole number ) * ) * ) * ) Supplied by The NZ Centre of Mathematics Page *

18 Adding decimals numbers ) ) 6 7. ) ) * * ) 8. 7) ) ) * 00 * 88 * 75 * ) ) ) 6. 8) * 8 * 865 * ) ) 9 8. ) ) ) * ) * ) * 5 * 7 * ) ) ) ) ) * 09 * 50 * 090 * * answer rounded to the nearest whole number Supplied by The NZ Centre of Mathematics Page *

19 Subtracting decimal numbers ) ). 0. ) ) ) ) ). 0. 8) ). 0.. ) ) ) ) ) ) ). 0.. ) ) ) ) ). 0. 8) ) ) ) 0.8. ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) Fill in the gaps ) ) ) ). 0.7 ) ) ) ) ) ) ) 0.8. ) ). 0. 5) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) Supplied by The NZ Centre of Mathematics Page 9

20 Subtracting decimal numbers ) ). 0. ) ) ) ) ). 0. 8) ). 0.. ) ) ) ) ) ) ). 0.. ) ) ) ) ). 0. 8) ) ) ) 0.8. ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) Fill in the gaps ) ) ) ). 0.7 ) ) ) ) ) ) ) 0.8. ) ). 0. 5) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) Supplied by The NZ Centre of Mathematics Page 0

21 Subtracting decimal numbers ) 8. 6) ) ) 7. 9 ) _ 8. _. 9 _. 9 _ 7 6. _ * * 9 * * ) 5. 7) ) ) 9. ) _ 8. _ 8. _ 6. 5 _ 9. _ * * * 50 * 86 * ) ) 8. 7 ) ) 6. 8 ). 8 _ 8 7. _ 7. _. _ 6 6. _ * 7 * * 77 * * ) ) 7. ) 8. 9) ) _ _ 6. _ 9. 7 _ _ * * 9 * 0 * 50 * 5) ) 6. 5) 5. 0) ) _. 8 _. 7 _ 9. 8 _ 5. 9 _ * * 5 * 0 * 80 * Extra Round your answers to the nearest whole number Supplied by The NZ Centre of Mathematics Page

22 Subtracting decimal numbers ) 8. 6) ) ) 7. 9 ) _ 8. _. 9 _. 9 _ 7 6. _ * * 9 * * ) 5. 7) ) ) 9. ) _ 8. _ 8. _ 6. 5 _ 9. _ * * * 50 * 86 * ) ) 8. 7 ) ) 6. 8 ). 8 _ 8 7. _ 7. _. _ 6 6. _ * 7 * * 77 * * ) ) 7. ) 8. 9) ) _ _ 6. _ 9. 7 _ _ * * 9 * 0 * 50 * 5) ) 6. 5) 5. 0) ) _. 8 _. 7 _ 9. 8 _ 5. 9 _ * * 5 * 0 * 80 * * answer rounded to the nearest whole number Supplied by The NZ Centre of Mathematics Page

23 Multiplication of Decimals ). 6 6) 5. 8 ) ). 7 7 ) * 7 * 5590 * 559 * 865 * ) 7. 7) 6. ). 5 7) 9. ) * 5 * 8 * 57 * * ). 9 8) 7 9. ) ) 6. 7 ) * 8 * * 5 * * ). 8 9) ) ) ) * * 8 * 6 * 5) ) ) ) ) * 56 * 08 * * Extra Round your answers to the nearest whole number Supplied by The NZ Centre of Mathematics Page

24 Multiplication of Decimals ). 6 6) 5. 8 ) ). 7 7 ) * 7 * 5590 * 559 * 865 * ) 7. 7) 6. ). 5 7) 9. ) * 5 * 8 * 57 * * ). 9 8) 7 9. ) ) 6. 7 ) * 8 * * 5 * * ). 8 9) ) ) ) * * 8 * 6 * 5) ) ) ) ) * 56 * 08 * * * answer rounded to the nearest whole number Supplied by The NZ Centre of Mathematics Page

25 Division of Decimals Test Test ) ). 0.8 ) ) ) ) ) ) 9. ) ) ) ) ) ). 0.7 ) ) ) ) ) 7. 8 ) ) ) ) ) ) ) ) ). 0. 7) ) ) ) ) ) ) ) ). 0.7 ) ) ) ) ) ) ) ) Supplied by The NZ Centre of Mathematics Page 5

26 Division of Decimals Test Test ) ). 0.8 ) ) ) ) ) ) 9. ) ) ) ) ) ). 0.7 ) ) ) ) ) 7. 8 ) ) ) ) ) ) ) ) ). 0. 7) ) ) ) ) ) ) ) ). 0.7 ) ) ) ) ) ) ) ) Supplied by The NZ Centre of Mathematics Page 6

27 H o w Much is S h a d e d? ) ) 9) 7) 5) ) 0) 8) 6) ) ) 9) 7) ) ) 0) 8) 5) ) ) 9) 6) ) ) 0) 7) 5) ) ) 8) 6) ) ) Extra Show the percentage and/or decimal equivalent of your answers Supplied by The NZ Centre of Mathematics Page 7

28 How Much is Shaded? ) 9) 7) 5) ) 0) 8) 6) ) ) 9) 7) ) ) 0) 8) 5) ) ) 9) 6) ) ) 0) 7) 5) ) ) 8) 6) ) ) Extra Show the percentage and/or decimal equivalent of your answers Supplied by The NZ Centre of Mathematics Page 8

29 How Far Along Each Line are the Arrows? ) Extra Show the percentage and/or decimal equivalent of your answers Supplied by The NZ Centre of Mathematics Page 9

30 How Far Along Each Line are the Arrows? Extra Show the percentage and/or decimal equivalent of your answers Supplied by The NZ Centre of Mathematics Page 0

31 P i e S h a d i n g The first pie has been shaded for you. ) ) 6 8 ) ) ) 6 ) 6 ) 5 ) 5 ) ) 5 ) ) 5 6 5) 5) 8 5) 6 6 6) 6 6) 6) 6 0 7) 7) 8 7) 6 8) 8) 0 8) 9 9) 6 9) 9) 0 0) 5 0) 8 Supplied by The NZ Centre of Mathematics Page 0)

32 P i e S h a d i n g ) ) 6 8 ) ) ) 6 ) 6 ) 5 ) 5 ) ) 5 ) ) 5 6 5) 5) 8 5) 6 6 6) 6 6) 6) 6 0 7) 7) 8 7) 6 8) 8) 0 8) 9 9) 6 9) 9) 0 0) 5 0) 8 Supplied by The NZ Centre of Mathematics Page 0)

33 ) I m p r o p e r F r a c t i o n s What improper fractions are represented by these illustrations? ) 7) ) 9) ) 8) ) 0) ) 9) 5) ) ) 0) 6) ) 5) ) 7) ) 6) ) 8) ) Extra Show each of your answers as a mixed fraction. ) Supplied by The NZ Centre of Mathematics Page

34 Improper Fractions Extra ) 7) ) 0 9) 9 ) 7) ) 6 9) ) 7 8) 9 ) 7 0) 7 ) 8) ) 0) ) 5 9) 5) ) ) 9) 5) 5 ) ) 7 0) 6 6) 7 ) ) 0) 6) 5 ) ) 9 ) 7) 9 ) 7 5) ) 7) ) 8 8 6) 0 ) 5 8) ) 6) ) 8) ) Supplied by The NZ Centre of Mathematics Page

35 q M i x e d Fractions a. What mixed fractions are represented by these illustrations? a b c ) 6) 0 0 a b c a b c ) 7) 0 0 a b c a b c ) 8) 0 0 a b c a b c ) 9) 0 0 a b c 5) 0 a b c 0) 0 a b c Extra Show each of your answers as an improper fraction. a. Supplied by The NZ Centre of Mathematics Page 5

36 M i x e d Fractions ( answers) a) b) c) 6 a) b) 8 c) a) b) c) 7 a) b) 7 c) a) b) c) 5 8 a) b) c) 5 a) 6 b) 6 c) 6 9 a) b) 9 c) a) 5 b) 5 c) a) b) 0 c) Extra (answers as improper fractions) 5 a) b) c) a) 8 b) 8 c) 8 5 a) b) c) a) 7 b) 7 c) a) b) c) 7 8 a) b) c) 5 7 a) 6 b) 6 c) a) 9 b) 9 c) a) b) c) a) 0 b) 0 c) 9 0 Supplied by The NZ Centre of Mathematics Page 6

37 S h a d i n g B l o c k s Shade in of each of these blocks. Shade in of each of these blocks. Shade in of each of these blocks. Shade in of each of these blocks. Shade in of each of these blocks. Supplied by The NZ Centre of Mathematics Page 7

38 S h a d i n g B l o c k s Shade in of each of these blocks. Shade in of each of these blocks. Shade in of each of these blocks. Shade in of each of these blocks. Shade in of each of these blocks. Supplied by The NZ Centre of Mathematics Page 8

39 L i n e F r a c t i o n s e x a m p l e: 7 ) 9) 7) ) 0) 8) ) ) 9) ) ) 0) 5) ) ) 6) ) ) 7) 5) ) 8) 6) ) Supplied by The NZ Centre of Mathematics Page 9

40 Line Fractions ) 9) 7) ) 0) 7 8) 6 7 ) ) 9) 8 0 ) ) 0) 9 5) ) ) ) ) ) 6 9 7) 5) ) 6 6 8) 6) ) Supplied by The NZ Centre of Mathematics Page 0

41 L i n e F r a c t i o n s F r a c t i o n s o f whole n u m b e r q u a n t i t i e s e x a m p l e: of 6 ) 5) 9) ) 6) 0) ) 7) ) ) 8) ) Supplied by The NZ Centre of Mathematics Page

42 L i n e F r a c t i o n s F r a c t i o n s o f whole n u m b e r q u a n t i t i e s e x a m p l e: of 6 of of 8 of 0 5 ) 5) 9) ) of 6) of 8 0) of ) of 6 7) of 9 ) of ) 6 of 6 8) 5 of 0 ) 6 of Supplied by The NZ Centre of Mathematics Page

43 L i n e F r a c t i o n s F r a c t i o n s o f whole n u m b e r q u a n t i t i e s e x a m p l e: of 8 ) 5) 9) ) 6) 0) ) 7) ) ) 8) ) Supplied by The NZ Centre of Mathematics Page

44 L i n e F r a c t i o n s F r a c t i o n s o f whole n u m b e r q u a n t i t i e s e x a m p l e: of 8 ) of 8 5) 7 of 9) 7 0 of 0 ) 5 of 0 8 6) of 6 0) 5 of 0 8 ) of 8 6 7) of ) of 7 8 ) 5 of 5 8) of 8 6 ) 5 6 of 6 0 Supplied by The NZ Centre of Mathematics Page

45 Equivalent Fractions Simplify your answers wherever possible a) z What fraction of these shapes What fraction of these arrows a) are circles? a) point left? b) contain a dot? b) contain a triangle? c) do not contain a dot? c) do not contain a triangle? What fraction of these shapes What fraction of these stars a) are circles? a) have only points? b) are triangles? b) have 8 points? c) are not triangles? c) do not have 8 points? d) contain a star? d) contain a circle? e) do not contain a star? e) do not contain a circle? f) have exactly 5 points? g) do not have exactly 5 points? Supplied by The NZ Centre of Mathematics Page 5

46 Equivalent Fractions a) a) a) a) b) b) b) b) c) c) c) c) d) d) e) e) f) g) Supplied by The NZ Centre of Mathematics Page 6

47 E q u i v a l e n t Fractions ) Shade in of each of these circles. ) Shade in of each of these circles. ) Shade in of each of these circles. ) Shade in of each of these circles. 5 5) Shade in of each of these strips. 6) Shade in of each of these strips. 7) Shade in of each of these strips. 5 8) Shade in of each of these strips. 5 Supplied by The NZ Centre of Mathematics Page 7

48 E q u i v a l e n t Fractions ) Shade in of each of these circles. ) Shade in of each of these circles. ) Shade in of each of these circles. ) Shade in of each of these circles. 5 5) Shade in of each of these strips. 6) Shade in of each of these strips. 7) Shade in of each of these strips. 5 8) Shade in of each of these strips. 5 Supplied by The NZ Centre of Mathematics Page 8

49 a) What fractions do these shaded circles show (how much is shaded)? Write your answers in the boxes on the left below each circle. b) Draw new lines from the centre of each circle to the points on the circumference below the markers. What "new" fraction does each circle show now? Write your answer in the second box. Question has been completed as an example... ) Changing Fractions Worksheet 5) 9) ) 6) 0) ) 7) ) ) 8) ) Supplied by The NZ Centre of Mathematics Page 9

50 a) What fractions do these shaded circles show (how much is shaded)? Write your answers in the boxes on the left below each circle. b) Draw new lines from the centre of each circle to the points on the circumference below the markers. What "new" fraction does each circle show now? Write your answer in the second box. Question has been completed as an example... ) Changing Fractions Worksheet 5) 9) 6 8 ) 6) 0) 6 9 ) 7) ) ) 8) ) 7 6 Supplied by The NZ Centre of Mathematics Page

51 Changing Fractions Worksheet a) What fractions do these shaded blocks show (how much is shaded)? Write your answers in the boxes on the left below each block. b) Draw new horizontal lines across the blocks at the points indicated by the markers. What "new" fraction does each block show now? Write your answer in the second box. Question has been completed as an example... ) 5) 9) 6 9 ) 6) 0) ) 7) ) ) 8) ) Supplied by The NZ Centre of Mathematics Page 5

52 Changing Fractions Worksheet a) What fractions do these shaded blocks show (how much is shaded)? Write your answers in the boxes on the left below each block. b) Draw new horizontal lines across the blocks at the points indicated by the markers. What "new" fraction does each block show now? Write your answer in the second box. Question has been completed as an example... ) 5) 9) ) 6) 0) ) 7) ) ) 8) ) Supplied by The NZ Centre of Mathematics Page

53 E q u i v a l e n t Fractions The first shape has been shaded for you. ) 5 0 6) 8 ) 5 ) 6 7) 9 5 ) ) 6 8 8) 0 ) 6 0 ) 5 9) ) 5) 6 0) 6 5) Supplied by The NZ Centre of Mathematics Page 5

54 E q u i v a l e n t Fractions ) 5 0 6) 8 ) 5 ) 6 7) 9 5 ) ) 6 8 8) 0 ) 6 0 ) 5 9) ) 5) 6 0) 6 5) Supplied by The NZ Centre of Mathematics Page 5

55 Unusual Linear Scales ) ) 7) ) 8) ) 9) ) 0) 5) ) 6) ) Supplied by The NZ Centre of Mathematics Page 55

56 Unusual Linear Scales a) b) c) 7a) 5 b) 5 c) 5 a) 5 b) 0 c) 5 8a) b) c) 6 a) 0 b) 0 c) 0 9a) 5 b) 0 c) 0 a) 0 b) 0 c) 50 0a) b) c) 8 5a) b) 0 c) a) 5 b) 5 c) 0 6a) 0 b) 5 c) 5 a) 0 b) 70 c) 90 Supplied by The NZ Centre of Mathematics Page 56

57 Unusual Linear Scales ) ) 7) ) 8) ) 9) ) 0) 5) ) 6) ) Supplied by The NZ Centre of Mathematics Page 57

58 Unusual Linear Scales a) b) 9 c) 7a) b) 6 c) 0 a) b) 0 c) 8a) b) 8 c) a) 8 b) 8 c) 6 9a) b) 6 c) a) b) 9 c) 5 0a) 6 b) c) 5a) b) 5 c) 8 a) b) 6 c) 9 6a) b) 6 c) 5 a) 6 b) c) Supplied by The NZ Centre of Mathematics Page 58

59 Unusual Linear Scales ) 7) ) 8) ) 9) ) 0) 5) ) 6) ) Supplied by The NZ Centre of Mathematics Page 59

60 Unusual Linear Scales a) 7 b) c) 7a) 8 b) c) a) 8 b) 6 c) 8a) 9 b) 5 c) 6 a) 9 b) 8 c) 7 9a) 7 b) 9 c) 6 a) 8 b) 6 c) 0 0a) 9 b) 8 c) 6 5a) 9 b) 8 c) 7 a).5 b) 7 c) 7.5 6a) 7 b) c) 8 a) 8 b) 56 c) 7 Supplied by The NZ Centre of Mathematics Page 60

61 Unusual Dials (Volume) What volume do the following scales indicate? ) 5 ) 6) ) 6) ) 7) ) 7) ) 8) ) 8) ) 9) ) 9) 5) 0) 5) 0) Supplied by The NZ Centre of Mathematics Page 6

62 Unusual Dials (Weight) What weight do the following scales indicate? ) 6) ) 6) k g k g k g k g ) 7) ) 7) k g k g k g k g ) 8) ) 8) k g k g k g k g ) 9) ) 9) k g k g k g k g 5) 0) 5) 0) k g k g k g k g Supplied by The NZ Centre of Mathematics Page 6

63 Unusual Dials (Temperature) What temperature do the following scales indicate? ) 6) ) 6) C C C C ) 7) ) 7) C C C C ) 8) ) 8) C C C C ) 9) ) 9) C C C C 5) 0) 5) 0) C C C C Supplied by The NZ Centre of Mathematics Page 6

64 Unusual Dials (Volume) Unusual Dials (Weight) Unusual Dials (Temperature) ) 5 ) 9 ) 8 kg ) 80 kg ) 6 C ) 0 C ) 5 ) 5 ) 0 kg ) 60 kg ) C ) 99 C ) ) 9 ) 5 kg ) kg ) 5 C ) 50 C ) 6 ) 5 ) kg ) 8 kg ) C ) 0.5 C 5) 5 5).5 5) 6 kg 5) 8 kg 5) 0 C 5).5 C 6) 8 6) 0.5 6) 6 kg 6) 00 kg 6) 6 C 6) C 7) 0 7) 7) 8 kg 7) 0. kg 7) 0 C 7) 75 C 8) 6 8) 0.5 8) 7 kg 8) 00 kg 8) 9 C 8) 0 C 9) 6 9) 0 9) 7 kg 9) 60 kg 9) 8 C 9) 55 C 0) 00 0) 0) 56 kg 0).5 kg 0) 5 C 0) 00 C Supplied by The NZ Centre of Mathematics Page 6

65 Fractions of whole numbers ) ) 0 ) ) ) 7 9 ) 6 8 ) ) 8 6 ) ) ) 8 ) ) 5) ) ) 6) 7 6) ) 5 0 7) 5 7) ) 5 7 8) 8 8) ) 8 8 9) 6 6 9) ) 0) 0) Supplied by The NZ Centre of Mathematics Page

66 Fractions of whole numbers ) 0 ) ) ) 7 9 ) 6 ) 8 ) 8 6 ) 8 7 ) ) 8 ) 6 0 ) ) ) 8 6 5) ) 6) ) ) 5 7) ) ) 5 7 8) 8 8) ) 8 8 9) 6 6 9) ) 0) ) Supplied by The NZ Centre of Mathematics Page

67 Fractions of whole numbers ) ) ) ) ) 5 5 ) ) 5 0 ) ) ) ) 9 5 ) ) ) 9 5) ) 6) ) ) ) ) ) ) 5 8) ) ) ) ) ) ) Supplied by The NZ Centre of Mathematics Page

68 Fractions of whole numbers ) ) ) ) ) ) ) ) 5 0 ) ) 5 ) 6 6 ) ) 5 5) 6 0 5) ) 6) 5 5 6) ) ) 6 7) ) ) 5 8) ) ) ) ) ) 0) Supplied by The NZ Centre of Mathematics Page

69 Simplifying fractions Worksheet Write these fractions in their simplest form ) ) ) 0 ) 0 6 ) ) ) ) 5 ) 0 ) ) 6 ) 9 ) ) 5) 0 5) ) 6) 0 6) ) 7) 0 7) ) 8) 8) 5 9) 0 9) 0 9) ) 0) 9 0) 8 Supplied by The NZ Centre of Mathematics Page 69

70 Simplifying fractions Worksheet Write these fractions in their simplest form ) ) ) 5 ) ) ) ) 7 9 ) ) ) 7 9 ) ) ) ) 5) 5) 7 0 6) 6) 6) ) 7) 5 7) ) 8) 8) 5 8 9) 9) 9) ) 0) 0) Supplied by The NZ Centre of Mathematics Page 70

71 Simplifying fractions Worksheet Write these fractions in their simplest form ) ) 6 ) 0 ) ) 8 ) ) ) 8 ) 8 ) ) ) 6 ) ) 5) 0 5) ) 6) 6) ) 7) 6 7) ) 8 8) 8) ) 9) 0 9) ) 6 0) 9 0) Supplied by The NZ Centre of Mathematics Page 7

72 Simplifying fractions Worksheet Write these fractions in their simplest form ) ) ) 5 ) ) ) ) 7 9 ) ) ) 7 9 ) ) ) 7 9 5) 5) 5 5) ) 6) 6 6) ) 7) 6 7) ) 8) 8) ) 9) 5 9) ) 0) 7 0) 6 8 Supplied by The NZ Centre of Mathematics Page 7

73 Adding fractions with the same denominator Simplify your answers as far as possible ) ) ) ) ) ) ) ) ) 7 7 5) ) 5 5 6) ) 6 7) ) 7 9 8) ) 7 5 9) ) 7 0) Supplied by The NZ Centre of Mathematics Page 7

74 Adding fractions with the same denominator Simplify your answers as far as possible ) ) ) ) ) ) ) ) ) 7 7 5) ) 5 5 6) ) 6 7) ) 7 9 8) ) 7 5 9) ) 7 0) Supplied by The NZ Centre of Mathematics Page 75

75 Adding Fractions Worksheet Simplify your answers as far as possible. ) ) ) ) ) 7 ) ) 5 ) ) 5) ) 7 6) ) 7) ) 5 7 8) ) 5 9) ) 0) Supplied by The NZ Centre of Mathematics Page 76

76 Adding Fractions Worksheet Simplify your answers as far as possible. ) ) ) ) ) 7 ) ) 5 ) ) 5) ) 7 6) ) 7) ) 5 7 8) ) 5 9) ) 0) Supplied by The NZ Centre of Mathematics Page 77

77 Adding Fractions Worksheet Simplify your answers as far as possible. ) 7 7 ) ) 5 ) ) 9 ) ) ) ) 5) ) 6) ) 9 7) ) 5 8) ) 7 9) ) 0) Supplied by The NZ Centre of Mathematics Page 78

78 Adding Fractions Worksheet Simplify your answers as far as possible. ) 7 ) ) 5 ) ) 9 ) ) ) ) 5) ) 6) ) 9 7) ) 5 8) ) 7 9) ) 0) Supplied by The NZ Centre of Mathematics Page 79

79 Mixed Fractions Addition Give your answers as mixed fractions, simplifying where possible. ) 5 ) ) 7 ) ) ) ) 5 ) ) 7 5) ) 7 6) ) 7) ) ) ) ) ) ) Supplied by The NZ Centre of Mathematics Page 80

80 Mixed Fractions Addition Give your answers as mixed fractions, simplifying where possible. ) 5 ) ) 7 ) ) ) ) 5 ) ) 7 5) ) 7 6) ) 7) ) ) ) ) ) ) Supplied by The NZ Centre of Mathematics Page 8

81 Subtracting Fractions Worksheet Simplify your answers as far as possible. ) ) ) ) ) 5 ) ) ) ) 7 5) ) 6) 7 6 7) 7 5 7) ) 7 8) 0 0 9) 5 9) 8 7 0) 0) Supplied by The NZ Centre of Mathematics Page 8

82 Subtracting Fractions Worksheet Simplify your answers as far as possible. ) ) ) ) ) 5 ) ) ) ) 7 5) ) 6) 7 6 7) 7 5 7) ) 7 8) 0 0 9) 5 9) 8 7 0) 0) Supplied by The NZ Centre of Mathematics Page 8

83 Subtracting Fractions Worksheet Simplify your answers as far as possible. ) 9 ) ) ) ) 5 ) ) 7 ) ) 9 5) ) 5 6) ) 7 7) ) 8) ) 9) 7 6 0) 0) Supplied by The NZ Centre of Mathematics Page 8

84 Subtracting Fractions Worksheet Simplify your answers as far as possible. ) 9 ) ) ) ) 5 ) ) 7 ) ) 9 5) ) 5 6) ) 7 7) ) 8) ) 9) 7 6 0) 0) Supplied by The NZ Centre of Mathematics Page 85

85 Multiplication of Fractions Simplify your answers as far as possible ) 5 55 ) ) ) ) ) ) ) ) 5 5) ) 5 6) ) 5 7) ) 8 8) ) 5 9) ) 9 0) Supplied by The NZ Centre of Mathematics Page 86

86 Multiplication of Fractions Simplify your answers as far as possible ) 5 5 ) ) ) ) ) ) ) ) 5 5) ) 5 6) ) 5 7) ) 8 8) ) 5 9) ) 9 0) Supplied by The NZ Centre of Mathematics Page 87

87 Dividing Fractions Simplify your answers as far as possible. ) 7 8 ) ) ) ) ) ) ) ) 5) ) 5 7 6) ) 7) ) 8) ) 9 9) ) 8 5 0) Supplied by The NZ Centre of Mathematics Page 88

88 Dividing Fractions Simplify your answers as far as possible. ) ) ) ) ) ) ) ) ) 5) ) 5 7 6) ) 7) ) 8) ) 9 9) ) 8 5 0) Supplied by The NZ Centre of Mathematics Page 89

89 Changing Fractions into Decimals (and vice versa) A. ) ) ) ) Change the following fractions into decimals. 7) ) ) ) ) 5) ) 0 6) ) 5 ) 7) ) ) 8) B. ) Change the following decimals into fractions. Simplify your answers as far as possible. Fractions greater than should be written as improper fractions. 7) ) ) ) ) ) ) ) 9 5) ) 9 6) ) 0. 0 ) 7 7) ) 0. 8 ) 8) Supplied by The NZ Centre of Mathematics Page 90

90 Changing Fractions into Decimals (and vice versa) A. ) ) ) ) 5) Change the following fractions into decimals. 7) ) ) ) ) 5) ) 0 6) ) 7) ) ) 8) B. ) Change the following decimals into fractions. Simplify your answers as far as possible. Fractions greater than should be written as improper fractions. 7) ) ) ) ) ) ) ) 9 5) ) 9 6) ) 0. 0 ) 7 7) ) 0. 8 ) 8) Supplied by The NZ Centre of Mathematics Page 9

91 Percentages, fractions & decimals Fill in the gaps 50% 0.5 0% 0. 0% 0. 00%.0 5% % 0.75 % 0.0 5% 0.05 Supplied by The NZ Centre of Mathematics Page 9

92 Percentages, fractions & decimals Fill in the gaps 50% 0.5 0% 0. 0% 0. 00%.0 5% % 0.75 % 0.0 5% 0.05 Supplied by The NZ Centre of Mathematics Page 9

93 Circle Percentages The following circles have been divided into or more sectors. Write down the percentage of a whole circle that each sector represents. a) 5% ) 6) ) b a c a b a b ) 7) ) a a b a c d b b ) 8) ) b b a a a b ) 9) ) b b a a b a 5) 0) 5) a b a b a b Supplied by The NZ Centre of Mathematics Page 9

94 Circle Percentages The following circles have been divided into or more sectors. Write down the percentage of a whole circle that each sector represents. a) 5% ) 6) ) 0% 5% 50% 5% 90% 5% 55% ) 7) ) % 5% 5% 0% 5% 5% 70% 99% 5% ) 8) ) 5%.5% 75% 95% 87.5% ) 9) ) 0% 5% % 80% 85% 98% 5) 0) 5) 0% 5% 7.5% 60% 65% 6.5% Supplied by The NZ Centre of Mathematics Page 95

95 Spider Percentages A spider connected its two webs together using a line of silk. It then walked from one web to the other. What percentage of the whole line had the spider walked at each point shown. a) 5% ) start (0%) finish (00%) a b c d ) a b c d a b c d ) a b c d ) a b c d 5) 6) a b c d Supplied by The NZ Centre of Mathematics Page 96

96 Spider Percentages A spider connected its two webs together using a line of silk. It then walked from one web to the other What percentage of the whole line had the spider walked at each point shown. a) 5% ) start (0%) finish (00%) 5% 50% 75% 80% ) 0% 0% 60% 90% ) % 0% 70% 95% ) 5% 5% 55% 99% 5) 5% 5% 65% 85% 6) % 0% 7% 98% Supplied by The NZ Centre of Mathematics Page 97

97 Percentages Shape Shading Shade in 50% of these shapes Shade in 5% of these shapes Shade in 75% of these shapes Supplied by The NZ Centre of Mathematics Page 98

98 Percentages Shape Shading Shade in 50% of these shapes Shade in 5% of these shapes Shade in 75% of these shapes Supplied by The NZ Centre of Mathematics Page 99

99 Percentages Circle the Dots Circle 50% of the dots in each box below Circle 5% of the dots in each box below Circle 75% of the dots in each box below Supplied by The NZ Centre of Mathematics Page 00

100 Percentages Circle the Dots Circle 50% of the dots in each box below Circle 5% of the dots in each box below Circle 75% of the dots in each box below Supplied by The NZ Centre of Mathematics Page 0

101 Percentages of whole numbers ) 5 0 % ) 0 % 5 0 ) 5 % 8 7 7) 7 5 % 9 ) 7 5 % 8) 0 % 7 0 ) 5 0 % 5 6 9) 5 % 8 5) 7 5 % 6 0) 9 5 % ) 0 % 0 ) 6 0 % ) 5 0 % 6 8 ) 0 0 % ) 7 0 % ) 0 0 % 6 9) 8 0 % 0 ) 5 % ) 5 % 0 5) 5 % ) 5 % 0 6) 6 5 % ) 5 5 % 8 0 7) % 0 0 ) 9 0 % ) % ) 0 % 0 6 9) 0 % 5 5) 5 % 6 0) 5 0 % 0 5 Supplied by The NZ Centre of Mathematics Page 0

102 Percentages of whole numbers ) 5 0 % 6 8 6) 0 % 5 0 ) 5 % 8 7 7) 7 5 % 9 ) 7 5 % 8) 0 % 7 0 ) 5 0 % 5 6 9) 5 % 8 5) 7 5 % 6 0) 9 5 % ) 0 % 0 ) 6 0 % ) 5 0 % 6 8 ) 0 0 % ) 7 0 % ) 0 0 % 6 9) 8 0 % 0 ) 5 % ) 5 % 0 5) 5 % ) 5 % 0 6) 6 5 % ) 5 5 % 8 0 7) % 0 0 ) 9 0 % ) % ) 0 % 0 6 9) 0 % 5 5) 5 % 6 0) 5 0 % 0 5 Supplied by The NZ Centre of Mathematics Page 0

103 Percentages of whole numbers ) 5 % ) 7 5 % 8 8 ) 7 5 % 8 7) 0 % 7 5 ) 0 % 8 5 8) 0 % 9 0 ) 0 0 % ) 8 0 % 9 0 5) 5 % 7 8 0) 5 0 % 7 6) 9 0 % ) 0 0 % 8 6 7) 0 % 9 0 ) 5 % 6 0 8) % 0 0 ) 7 0 % 0 9) % ) 6 0 % 0 0 0) 7 % 0 0 5) 5 % 0 ) 5 % 0 6) 5 0 % 8 ) 5 % ) 9 5 % ) 0 % 9 0 8) 8 % ) 5 % ) 5 0 % 7 5) 5 5 % 8 0 0) 6 5 % 6 0 Supplied by The NZ Centre of Mathematics Page 0

104 Percentages of whole numbers ) 5 % ) 7 5 % 8 8 ) 7 5 % 8 6 7) 0 % ) 0 % ) 0 % ) 0 0 % ) 8 0 % ) 5 % 7 8 0) 5 0 % ) 9 0 % ) 0 0 % ) 0 % ) 5 % ) % 0 0 ) 7 0 % 0 9 9) % ) 6 0 % ) 7 % ) 5 % 0 ) 5 % 0 6) 5 0 % 8 9 ) 5 % ) 9 5 % ) 0 % ) 8 % ) 5 % ) 5 0 % ) 5 5 % ) 6 5 % 6 0 Supplied by The NZ Centre of Mathematics Page 05

105 A. ) 5 0 % Changing Percentages into Fractions & Decimals Change the following percentages into fractions. Simplify your answers as far as possible. 6) 7 0 % ) 8 % ) 0 % 7) 5 % ) 5 % ) % 8) 8 0 % ) 9 0 % ) % 9) 6 % ) 6 % 5) % 0) 5 % 5) % B. Change the following fractions into percentages. ) 6) ) 5 5 C. ) 7 9 7) ) ) 8) ) 0 5 ) 7 9) ) ) ) 5) Change the following percentages into decimals. ) 5 % ) 0 % 5) 7 5 % 5 ) 5 0 % ) 0 % 6) 5 0 %. 5 D. Change the following decimals into percentages. ) 0. 0 ) 0. 5 ) ) 0. 5) 0. 7 % 6). 0 9 % Supplied by The NZ Centre of Mathematics Page 06

106 A. ) 5 0 % Changing Percentages into Fractions & Decimals Change the following percentages into fractions. Simplify your answers as far as possible. 6) % ) 8 % 0 5 ) 0 % ) % ) % 5) % 7) 7 5 % ) 5 % ) % ) 9 0 % ) 6 6 % ) 6 % ) 5 % 5) % B. Change the following fractions into percentages. ) 5 % 6) 8 % ) % ) % 7) 8 5 % ) % ) 7 5 % 8) 0 % ) % ) 7 0 % 9) % ) ) % 0) 5 % 5) % 9 5 % C. Change the following percentages into decimals. ) 5 % 0. 5 ) 0 % 0. ) 5 0 % 0. 5 ) 0 % 0. 5) 7 5 % ) 5 0 %. 5 D. Change the following decimals into percentages. ) 0. 0 % ) 0. 5 ) % ) 0. % 6) % 5) % Supplied by The NZ Centre of Mathematics Page %

107 Percentage Increase & Decrease Fill in the gaps Percentage Increase Original Amount % increase New Amount Original Amount % increase New Amount ) 56 5% 70 9) 75% 56 ) 6 50% 9 0) 5% 0 ) 5 0% 6 ) 5 0% 8 ) 8 75% ) 0 0% 5) 0 90% 9 ) 50 % 5 6) 0 70% 5 ) 0 5% 6 7) 50 % 5 5) 00 % 0 8) 00% 6) 0 50% 50 Percentage Decrease Original Amount % decrease New Amount Original Amount % decrease New Amount ) 50 0% 5 9) 0 5% 9 ) 8 50% 9 0) 50% 7 ) 5 % ) 90 0% 8 ) 60 5% 9 ) 5 0% 5) 0 5% ) 00 99% 6) 6 75% 6 ) 50 6% 7 7) 0 5% 5) 5 8% 5 8) 5 60% 8 6) 50 % Supplied by The NZ Centre of Mathematics Page 08

108 Percentage Increase & Decrease Fill in the gaps Percentage Increase Original Amount % increase New Amount Original Amount % increase New Amount ) 56 5% 70 9) 75% 56 ) 6 50% 9 0) 5% 0 ) 5 0% 6 ) 5 0% 8 ) 8 75% ) 0 0% 5) 0 90% 9 ) 50 % 5 6) 0 70% 5 ) 0 5% 6 7) 50 % 5 5) 00 % 0 8) 00% 6) 0 50% 50 Percentage Decrease Original Amount % decrease New Amount Original Amount % decrease New Amount ) 50 0% 5 9) 0 5% 9 ) 8 50% 9 0) 50% 7 ) 5 % ) 90 0% 8 ) 60 5% 9 ) 5 0% 5) 0 5% ) 00 99% 6) 6 75% 6 ) 50 6% 7 7) 0 5% 5) 5 8% 5 8) 5 60% 8 6) 50 % Supplied by The NZ Centre of Mathematics Page 09

109 Later and Earlier () For each of the following write a) the time the clock shows now b) the time the clock would show 5 minutes later c) the time the clock would show 0 minutes later d) the time the clock would have shown hour earlier a) :00 b) :5 c) :0 d) :00 ) 6) ) 6) ) 7) ) 7) ) 8) ) 8) ) 9) ) 9) 5) 0) 5) 0) Supplied by The NZ Centre of Mathematics Page 0

110 Later and Earlier () a) :00 6 a) 5:00 a) :0 6 a) :0 b) :5 b) 5:5 b) :5 b) :5 c) :0 c) 5:0 c) :00 c) :00 d) :00 d) :00 d) :0 d) :0 a) :00 7 a) :00 a) 8:0 7 a) :0 b) :5 b) :5 b) 8:5 b) :5 c) :0 c) :0 c) 9:00 c) :00 d) :00 d) :00 d) 7:0 d) :0 a) :00 8 a) 6:00 a) 5:0 8 a) 6:0 b) :5 b) 6:5 b) 5:5 b) 6:5 c) :0 c) 6:0 c) 6:00 c) 7:00 d) :00 d) 5:00 d) :0 d) 5:0 a) 0:00 9 a) 9:00 a) :0 9 a) :0 b) 0:5 b) 9:5 b) :5 b) :5 c) 0:0 c) 9:0 c) :00 c) 5:00 d) 9:00 d) 8:00 d) 0:0 d) :0 5 a) :00 0 a) 7:00 5 a) 9:0 0 a) :0 b) :5 b) 7:5 b) 9:5 b) :5 c) :0 c) 7:0 c) 0:00 c) :00 d) :00 d) 6:00 d) 8:0 d) :0 Supplied by The NZ Centre of Mathematics Page

111 Later and Earlier () For each of the following write a) the time the clock shows now b) the time the clock would show 5 minutes later c) the time the clock would show 5 minutes later d) the time the clock would have shown hour and 0 minutes earlier a) 6:5 b) 7:00 c) 7:0 d) 5:5 ) 6) ) 6) ) 7) ) 7) ) 8) ) 8) ) 9) ) 9) 5) 0) 5) 0) Supplied by The NZ Centre of Mathematics Page

112 Later and Earlier () a) 6:5 6 a) :5 a) 8:5 6 a) 5:5 b) 7:00 b) :00 b) 9:00 b) 6:00 c) 7:0 c) :0 c) 9:0 c) 6:0 d) 5:5 d) :5 d) 7:5 d) :5 a) :5 7 a) :5 a) 0:0 7 a) :5 b) :0 b) :0 b) 0:5 b) :00 c) :00 c) :00 c) :5 c) :0 d) :5 d) :5 d) 9:00 d) :5 a) 0:5 8 a) :5 a) :5 8 a) 8:5 b) 0:0 b) :0 b) :0 b) 8:0 c) :00 c) :00 c) 5:00 c) 9:00 d) 8:5 d) :5 d) :5 d) 6:5 a) 7:5 9 a) 8:00 a) :5 9 a) :5 b) 7:0 b) 8:5 b) :00 b) :00 c) 8:00 c) 8:5 c) :0 c) :0 d) 5:5 d) 6:0 d) 0:5 d) :5 5 a) :5 0 a) 5:5 5 a) :5 0 a) :00 b) :00 b) 5:0 b) :0 b) :5 c) :0 c) 6:00 c) :00 c) :5 d) :5 d) :5 d) 9:5 d) 9:0 Supplied by The NZ Centre of Mathematics Page

113 Later and Earlier () For each of the following write a) the time the clock shows now b) the time the clock would show 5 minutes later c) the time the clock would have shown 55 minutes earlier d) the time the clock would show hours 5 minutes later a) :5 b) :00 c) :0 d) :0 ) 6) ) 6) ) 7) ) 7) ) 8) ) 8) ) 9) ) 9) 5) 0) 5) 0) Supplied by The NZ Centre of Mathematics Page

114 Later and Earlier () a) :5 6 a) :5 a) 6:5 6 a) 9:5 b) :00 b) 5:0 b) 7:00 b) 9:0 c) :0 c) :50 c) 5:0 c) 8:0 d) :0 d) 7:0 d) 9:0 d) :50 a) :05 7 a) :5 a) 5:0 7 a) 5:0 b) :0 b) :50 b) 6:05 b) 5:5 c) :0 c) :0 c) :5 c) :5 d) :0 d) 6:00 d) 8:5 d) 7:5 a) :05 8 a) :0 a) 9:5 8 a) 7:0 b) :0 b) :5 b) 9:50 b) 7:5 c) :0 c) :5 c) 8:0 c) 6:5 d) :0 d) 6:55 d) :00 d) 9:55 a) 7:55 9 a) 7:0 a) :00 9 a) 5:50 b) 8:0 b) 8:05 b) :5 b) 6:5 c) 7:00 c) 6:5 c) :05 c) :55 d) 0:0 d) 0:5 d) :5 d) 8:5 5 a) :0 0 a) :55 5 a) :0 0 a) 9:50 b) :5 b) :0 b) :55 b) 0:5 c) :5 c) :00 c) 0:5 c) 8:55 d) :5 d) 6:0 d) :05 d) :5 Supplied by The NZ Centre of Mathematics Page 5

115 Later and Earlier () For each of the following write a) the time the clock shows now b) the time the clock would show 8 minutes later c) the time the clock would have shown hours 6 minutes earlier d) the time the clock would show hours 8 minutes later a) :7 b) :05 c) : d) 6:5 ) 6) ) 6) ) 7) ) 7) ) 8) ) 8) ) 9) ) 9) 5) 0) 5) 0) Supplied by The NZ Centre of Mathematics Page 6

116 Later and Earlier () a) :7 6 a) 5:6 a) :7 6 a) 7:7 b) :05 b) 5: b) :5 b) 7:5 c) : c) :50 c) 8:5 c) : d) 6:5 d) 9: d) :5 d) :05 a) 6:9 7 a) 6: a) 8: 7 a) 0:5 b) 7:07 b) 6:0 b) 8:5 b) : c) : c) :6 c) 5:58 c) 8:8 d) 0:7 d) 0:0 d) : d) : a) :9 8 a) : a) 7:8 8 a) :5 b) :57 b) :5 b) 7:56 b) : c) :0 c) :58 c) 5:0 c) 9:7 d) 8:7 d) 6: d) :6 d) : a) 6:08 9 a) :0 a) : 9 a) :0 b) 6:6 b) :9 b) :0 b) : c) : c) 9:5 c) :6 c) :7 d) 9:56 d) :9 d) 8:0 d) 7:5 5 a) : 0 a) :8 5 a) 8:06 0 a) 9:5 b) :9 b) :6 b) 8: b) 0:09 c) :5 c) 9:5 c) 5:0 c) 7:5 d) 5:59 d) :6 d) :5 d) :9 Supplied by The NZ Centre of Mathematics Page 7

117 hour clock For each of the clocks below, what would a hour digital clock show a) if it was am (after midnight but before midday)? b) if it was pm (after midday but before midnight)? a) 06:0 b) 8:0 ) 6) ) 6) ) 7) ) 7) ) 8) ) 8) ) 9) ) 9) 5) 0) 5) 0) Supplied by The NZ Centre of Mathematics Page 8

118 hour clock a) 06:0 6 a) 05:5 a) 0:0 6 a) 05:05 b) 8:0 b) 7:5 b) 5:0 b) 7:05 a) 0:0 7 a) 09:5 a) 09:50 7 a) 0:0 b) :0 b) :5 b) :50 b) :0 a) 0:0 8 a) 0:0 a) :5 8 a) 0:55 b) :0 b) :0 b) :5 b) 5:55 a) 0:5 9 a) 08:0 a) :55 9 a) 0:00 b) :5 b) 0:0 b) :55 b) 6:00 5 a) 07:0 0 a) 00:5 5 a) 07:5 0 a) 0:05 b) 9:0 b) :5 b) 9:5 b) :05 Supplied by The NZ Centre of Mathematics Page 9

119 Digital to Analogue Show the following times on the clocks below: ) 9:0 6) 0:50 ) :0 6) 5:5 ) :0 7) :5 ) :5 7) :0 ) :5 8) :55 ) :5 8) 7:5 ) 6:0 9) :50 ) 0:00 9) 7:05 5) :0 0) 5:05 5) 8:0 0) 6:5 ) 6) ) 6) ) 7) ) 7) ) 8) ) 8) ) 9) ) 9) 5) 0) 5) 0) Supplied by The NZ Centre of Mathematics Page 0

120 Digital to Analogue Show the following times on the clocks below: ) 9:0 6) 0:50 ) :0 6) 5:5 ) :0 7) :5 ) :5 7) :0 ) :5 8) :55 ) :5 8) 7:5 ) 6:0 9) :50 ) 0:00 9) 7:05 5) :0 0) 5:05 5) 8:0 0) 6:5 ) 6) ) 6) ) 7) ) 7) ) 8) ) 8) ) 9) ) 9) 5) 0) 5) 0) Supplied by The NZ Centre of Mathematics Page

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