11+ Practice Test 1 1. Work out the answers to these calculations. 257 + 649 Answer... 541 382 Answer... 23 4 374 23 Answer... Answer... 432 8.Answer... 11 marks Sutton Valence School 1
2. A shop sells T-shirts and vests. I have 20 (a) How many T-shirts could I buy with 20? Answer... How many vests could I buy with 20? Answer... (c) I buy two T-shirts and two vests. How much change should I get from 20?... 8 marks 3. Fill in the missing fraction. 3 = 4 2 1 2 marks Sutton Valence School 2
4. (a) Carl has 4 coins. Altogether he has 25p What coins could Carl have? Mary has 5 coins. Altogether she has 1.25 Mary does not have any 1 coins. What coins could Mary have? 4 marks 5. (a) The diagram shows part of a number line. What number is the arrow pointing to? Write your answer in the box. 5 6 7 Now draw an arrow on the number line above to show the number that is 1.2 less than 7 (c) Work out the answer to 6.7 0.8 Answer... 4marks Sutton Valence School 3
5. 6. A class is collecting money for charity. 1000 They want a total of 1000 By the end of April, they have collected 400 (a) What percentage of their total have they collected by the end of April? 400 % By the end of May, they have collected 85% of their total. Shade more of the diagram to show this. 0 3 marks 7. Kim is thinking of a number. Answer... 3 marks Sutton Valence School 4
8. The diagram shows what is above and below sea level. (a) What is about 50m lower than the bird? 30 bird... 20 kite 10 butterfly An octopus is at about 40m. About how many metres higher metres 0 boat is the diver than the octopus? 10 diver... m 20 fish 30 eel 3 marks 9. Write the missing numbers. 1 of 20 = 5 3 of 20 = 4 3 marks 10. Fill in the missing decimal number. 1 5 10 = 15 0.1 1 5 1000 = 15........ 1 mark Sutton Valence School 5
11. Look at the diagram. 0g 200g 400g 600g 800g 1kg The scale shows how much five parcels weigh. All the parcels weigh the same. How much does one parcel weigh?... g 3 marks Sutton Valence School 6
12. Here is a line on a square grid. Points A and B are on the line. y 6 5 4 B 3 2 A 1 0 0 1 2 3 4 5 6 x (a) The coordinates of point A are (3, 3) What are the coordinates of point B? (...,...) Here is a different line on the square grid. y 6 5 4 3 2 1 0 0 1 2 3 4 5 6 x Write the coordinates of any point on this line. (...,...) 2 marks Sutton Valence School 7
13. The diagram shows what Molly buys. She pays with a 5 note and gets 66p change. How much did Molly pay for the shampoo?... 3 marks 14. Two shops sell packs of pens. Supermarket Village shop Pack of 5 pens Pack of 6 pens 6.25 7.20 I want to buy 30 pens. In which shop are the pens cheaper? You must show your working. Answer... 4 marks Sutton Valence School 8
15. This is how Caryl works out 15% of 120 in her head. 10% of 120 is 12 5% of 120 is 6 so 15% of 120 is 18 Show how Caryl can work out 17½% of 240 in her head....% of 240 is......% of 240 is......% of 240 is... 1 so 17 2 % of 240 is... 4 marks 16. Jeff makes a sequence of patterns with black and grey triangular tiles. pattern number 1 pattern number 2 pattern number 3 The rule for finding the number of tiles in pattern number N in Jeff's sequence is: number of tiles = 1 + 3N Sutton Valence School 9
(a) The 1 in this rule represents the black tile. What does the 3N represent? Jeff makes pattern number 12 in his sequence. How many black tiles and how many grey tiles does he use?... black and... grey tiles (c) Jeff uses 61 tiles altogether to make a pattern in his sequence. What is the number of the pattern he makes? pattern number... (d) Barbara makes a sequence of patterns with hexagonal tiles. pattern number 1 pattern number 2 pattern number 3 Each pattern in Barbara's sequence has 1 black tile in the middle. Each new pattern has 6 more grey tiles than the pattern before. Write the rule for finding the number of tiles in pattern number N in Barbara's sequence. number of tiles =.. +. 7 marks Sutton Valence School 10
17. Here is part of a number sequence. 7 11 19 35 To get the next number you multiply by 2 then subtract 3 Fill in the two missing numbers in the sequence. 7 11 19 35 2 marks 18. The equation shows how much you pay to hire a car. N stands for the number of days N x 20 = T T stands for the total you pay in (a) Leena hires the car for 10 days. How much must she pay?... Later, Tom pays 280 to hire the car. For how many days does he hire the car?... days 4 marks Sutton Valence School 11
19. Anna and Jack did a survey together. They asked people What is your favourite sport? Anna drew a bar chart to show the results. Number of people 14 12 10 8 6 4 2 0 football tennis cricket Jack started to draw a pictogram to show the same results. He drew the result for football. Draw the results for tennis and cricket. football tennis cricket 2 marks 20. This question is about pupils in class 7Y. The graph shows how many of these pupils were at school each day. 30 Number of pupils 20 10 0 Mon Tues Wed Thurs Fri Sutton Valence School 12
(a) On which days were only 25 pupils at school? Answer... On Tuesday all the pupils in class 7Y were at school. How many of these pupils were not at school on Wednesday? Answer... 3 marks 21. The table shows information about pupils in a class. Number of boys Number of girls Right-handed 11 10 Left-handed 1 3 (a) Altogether, how many pupils in the class are left-handed? Answer... A right-handed girl leaves the class. A left-handed boy joins the class. Fill in the table for the class now. 1 Right-handed Left-handed Number of boys Number of girls 3 marks Sutton Valence School 13
22. Peter took part in a long jump competition. He had three jumps. The arrows on the scale show how far he jumped each time. 1st jump 2nd jump 3rd jump 3.9 m 4 m 4.1 m (a) How far did Peter jump on his 2nd jump? Answer... Peter jumped further on his 3rd jump than on his 1st jump. How much further? Write your answer in metres. Answer... Now write your answer in centimetres. Answer... 3 marks 23. A rectangle measures 4 centimetres by 8 centimetres. 4 cm 8 cm Not drawn accurately Sutton Valence School 14
Kelly uses three of these rectangles to make a larger rectangle. 4 cm 8 cm Not drawn accurately Work out the distance around the outside of this larger rectangle.... cm 2 marks 24. Here is part of Nina s school timetable for Monday. (a) For how many minutes does Nina s history lesson last? 9:15 9:30 history begins..... minutes 9:45 For how many minutes does 10:00 history ends, break begins Nina s break last? (c) 10:15... minutes 10:30 Nina starts school at 9am. She finishes school at 4pm. How many hours is Nina s school day? break ends, maths begins... hours 104 marks Sutton Valence School 15
25. The Highway Code states the minimum distance there should be between cars. There are different distances for bad weather and good weather. The graph below shows this. 140 Minimum distance between cars (metres) 120 100 80 60 40 bad weather good weather 20 0 0 10 20 30 40 50 60 70 Speed (miles per hour) (a) The weather is bad. A car is travelling at 40 miles per hour. What is the minimum distance it should be from the car in front?... metres The weather is good. A car is travelling at 55 miles per hour. What is the minimum distance it should be from the car in front?... metres (c) Mr. Evans is driving 30 meters behind another car. The weather is bad. What is the maximum speed at which Mr. Evans should be driving?... miles per hour Sutton Valence School 16
(d) Mrs. Singh is driving at 50 miles per hour in good weather. She is the minimum distance from the car in front. It begins to rain heavily. Both cars slow down to 30 miles per hour. Use the graph to work out how much Mrs. Singh must increase her distance from the car in front. Show your working.... metres 26..(a) Calculate angles a, b and c 104 marks a 8.1 c 6 80º 40º 9.2 b NOT TO SCALE a =... b =... c =... Calculate angles d and e: 1 0 d. 1 0 5 0 º e 10 NOT TO SCALE d =... 1 0 e =... Sutton Valence School 17
(c) The diagram shows a rectangle. D C f Not drawn acc u r a t e ly A 6 5º K 35º B Work out the size of angle f You must show your working. f =... 108 marks Total 100 marks Sutton Valence School 18