Y=lSO ~J. i t. Math Mammoth End-of-the-Year Test - Grade 5. yx~~ ~oo ~ i = 80. I v I Y I Y I v .,. 600,... The Four Operations

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1 Math Mammoth EndoftheYear Test Grade 5 The Four Operations. Solve (without a calculator). a.,035 ; b. 492 x 832 l\dc\3l\l\ 2. Solve. a. x 56,409 = 240,02 ;z~v L\ ~o ;2 x b. 7,200 7 y = 90 i = 80 c. N : 4 = 236 f\j;:: 3364 i t 3. Write an equation to match this model, and sol~e g 6 yx~~ ~oo ~ Y=lSO ~J og 4. Place parentheses into the equations to make them ue. a. 42 x 0 = (to4)x 70 b. 43 = 3 x6 + 6).,. 600,... v Y Y v

2 5. Write a single expression (number sentence) for the problem, and solve. A store was selling movies that originally cost $9.95 with a $5 discount. Mia bought five of them. What was the total cost? ()Gt. q5 5.00) x. 5 == / 4. 5 x.5 /l{)s 6. s 99 divisible by 4? N6 Why or why not? f3ecoci~ ' 't.;. ~ =~l} 7, 5 C<ad ordllf.( w r (..o k ( cl :: 0 li{ e..., " ~ f\o dccfy0 7. Factor the ollowing numbers to their prime factors. a.26 b.40 / \ /\ SZJ" /\ ll~:z /\ J_.,2 ax3 Sx ~ xjx2 5 c.59 /\ l ()~ (S P' h\l Large Numbers 8. Write the numbers. a. 70 million 6 thousand 90 b. 32 billion 232 thousand 3;),00o 'J.3J. 0CfJ 9. Estimate the result of 3,933 x 305.

3 0. What is the value of the digit 8 in the number 56, 7 82,O0, O 00?. Round these numbers to the nearest thousand, nearest ten thousand, nearest hundred thousand, and nearest million. ' number to the nearest,000 9,054,947 to the nearest 0,000 to the nearest 00,000 to the nearest million }C 000 Problem Solving X 2. Jack has an 8ft long board. He cuts off /6 of it. How long is the remaining piece, in feet and inches? ~ 3. A website charges a fixed amount for each song download. f you can download six songs for $4.68, then how much would it cost to download ten songs? ~ c 00 \=(,(" \ 0 ~~y:' )( 4. A lunch in a fancy restaurant is three times as expensive as a lunch in a cafeteria. The lunch in the fancy restaurant costs $36. n a 5day workweek, Mary eats at the fancy restaurant once, and in the cafeteria the rest of the days. How much does she spend on lunches in that week? ~ C\ lo L"' at lr J t \l_

4 5. A blue swimsuit costs $42 and a red swimsuit costs 5/6 as much. How much would the two swimsuits cost together? Mark the $42 in the bar model. Mark what is not known with"?". Solve. \ 6. A bag has green and purple marbles. Twofifths of the marbles are green, and the rest are purple. a. Draw a bar model for this situation. b. f there are 34 green marbles, how many are purple? 7. Karen and Ann share the cost of a DVD that costs $29.90 so that Karen pays 3/5 of it and Ann pays 2/5 of it. a. Estimate how much each person will pay. furul ~ i ~P b. Find the exact amount of how much each person will pay. CV'lrt. ~ ~ l. q ll Anf\ S. q &

5 Decimals 8. Write the decimals indicated by the anows ~ t t t t a. b. c. d. xa.,.q_ b.6 ~ 30 Kc.., le x d. Lf t.., 9. Complete. a = O,ct5 b l = d =., & e = '.05 c =.a J.. f = Write as decimals. x b. _8_ = \) )<J 000 Xe. 5~ = { Write as fractions or mixed numbers.? '( a Xb. i.004 ~ lx.c Compare, and write < or >. a. 0.3 : 7] 0.03 b ) l c..6 [ ) j Round the numbers to the nearest one, nearest tenth, and nearest hundredth. rounded nearest nearest to... one tenth s.o9s 5.~ 5. nearest hundredth rounded to nearest nearest nearest one tenth hundredth 0() ~."b \ 24. Solve. ~. 0.4 x 7 = ;t t ~. 0.4 x 0.7 = (J'}_{) c. o.4 x 00 = JoO d. 0 x 0.05 = 0.3 e. 00 x 0.05 = 5 Kr. 000 x 0.5 = 50 ~ i. x o.3 = L 3. > ~. 70 x 0.9 = & i. 20 x 0.09 =.) 8

6 25. Divide. a = r( b =,, c. 3; 00 = d ; 0 = '? J e = f. 7 ; 00 = Convert. a. 0.2 m = Q cm ' 37cm =. m 2.9 km= ( m b. 0.4 L = G.. ml '2 3.5 kg =. g 240 g= ~ kg c. 56 oz= <. 74in. = 5 c = lb, oz ) ft. m. qt?. _ c 27. Two liters of ice cream is divided equally into nine bowls. Calculate how much ice cream is in TWO bowls, to the nearest milliliter. 28. Calculate. a b ti c. 2.2 x 6.4 r,.._ r t t + l t "' i _j ~ ;... ~ t L l l +... i,.. t l t! ' L... 4 t" + t t f + t l ++. '

7 Graphs 29. Plot the points from the "number rule" on the coordinate grid. The rule for xvalues: start at 0, and add each time. The rule for yvalues: start at, and add 2 each time.? 2 y x 3. The table below gives the amount of sales in a grocery store from Monday through Friday. Day Sales (thousands of dollars) Mon 25 Tue 4 Wed 8 Thu 30 Fri !! 20.!!! :g 00 'O c: :g 80 :: 0 ~ 60.. Store Sales ~ ~ a. Make a line graph. 40 "'.b Calculate the average daily sales in this period. lls 20 0 Mon Tue Wed Thu Fri

8 Fractions 32. Add and subtract. a. X b. D\ ~ 7 c _! lo ~ [; \S ~/ \ )_i Mark the fractions on the number line. 0 ~ d_ ' 3 ' 6 ' 2 f 34. f you can find an equivalent fraction, write it. f you cannot, cross the whole problem out. b. 2 7 l) 28 3, 5 c. 8 = '((> 2 6 d. 9 = ll 35. Find the errors in Mia's calculation and conect them /( ' ~ +~~~ ~+~ ~ ~ x=~. ~ ~ ~ '.: ~~ ~~ ~ 5 ' \ " need these to have the same denominator." \ \5

9 36. Add and subtract the fractions and mixed numbers. a.!_ +2 ::i+!q ~!J \ ~/J 3 6 \ ~ \ ~ ;)._ d. & b ~_!_ =~ _j_:::.l. 5 3 ~ \') \J ~ f ~ > f to i (p ~~ 3 ~ 7 i ~ ~ 9,j:: \0 ~ ::~~=5 d. + = t \ i 'b l<t' 9 2 i 3 7. You need 2 3/4 cups of flour for one batch of rolls. Find how much flour you would need for three batches of rolls. q 3 <> C\ ~l.....>.., _..>..,..._;; u lf' 4, Li ~ ~ 38. Compare the fractions, and write <,>, or = in the box. a. 6 [2J b. _i_ Ql _!_ 3 ~ 2 s N 48 c.0 L2J 00 5 [2J 7 e. / Simplify the following fractions if possible. Give your answer as a mixed number when you can. )( 2 li a. 5 ~ [ S ~ 40. s the following multiplication correct? f not, correct it. db lb. ~~

10 4. Multiply the fractions, and shade a picture to illustrate the multiplication. a. 3 i 5 ~ s x ~ ' b. 6 / o \, llll ' L{ 3 ;),7 x ~ 2. How many /4inch pieces can you cut from a strilj_ that is 5 inches long? )(43. Three people share half a pizza evenly. What fractional part of the original pizza does each one get? it ~or =\ j'<f'.:»r"l 44. Solve. Give your answer as a mixed number and in a simplified form. 7 a x w b d =.. ~ 3 = 7 l \ ;(\ cl T~,?; x 7 0? \

11 Geometry 45. Measure the sides of the triangle in inches. Find its perimeter. ~ J).S iheks 'X 46. Below you see two triangles and two quadrilaterals. Classify the triangles according to their sides and angles. Name the quadrilaterals. d. ~ 47. a. A square has a perimeter of 2 m. What is its area? {. b. A square has an area of 25 ft 2. What is its perimeter? y )(48. s a square a trapezoid? Why or why not??

12 49. Can an obtuse triangle be isosceles? f not, explain why not. ( f yes, sketch an example. / 50. a. Draw a right triangle with 5 cm and 7 cm perpendicular sides.? b. Find its perimeter. c. Measure its angles. They measure 0 0, and 0 (} 5. This is a rectangular prism. Find its volume. vi '>:: <.."$"!;>. 0 cm 52. Matthew has a rainwater collection tank in his yard that is rectangular, like a box. t is.2 m long, 60 cm wide, and m tall.? a. Find the volume of the tank in cubic meters. b. One morning, after a rainy night, the tank is about /3 full. About how many liters of water are in the tank? cubic meter equals,000 liters.