SAMPLE MATHEMATICS ENTRANCE EXAMINATION ENTRY TO …

SAMPLE MATHEMATICS ENTRANCE EXAMINATION ENTRY TO YEAR 7

Time Allowed: 60 minutes

Write down all your working and put your answers in the spaces provided. Calculators are not allowed.

Try to answer all the questions. Some of the questions may seem unfamiliar. Do not spend too much time on these at first, but move on to questions you like more. You can always return to

the unusual ones later.

1.

Work out 623 + 346

2.

Work out

1532 467

Answer: ________ [1]

3.

Work out

527 7

Answer: ________ [1]

4

Work out 1029 7

Answer: ________ [1]

5. Work out: (a) (6-2) x 3

(b) 5 + 3 x 7

(c) 12.6 + 3.9

Answer: ________ [1]

Answer: ________

[1]

Answer: ________

[1]

Answer: ________

[1]

6. A blue money box has six 20p pieces and nine 5p pieces in it. A red money box has one 50p, eight 10p pieces and twelve 2p pieces in it. (a) What is the total sum of money in the two money boxes?

Answer: ________ [1] (b) Which money box has more money in it?

Answer: ________ [1] (c) How much more money is in this box?

Answer: ________ [1]

7. Write in figures the number five hundred and seven thousand and thirty seven.

8. Work out

? of 36

Answer: ________ [1]

Answer: ________ [2]

9. Work out

70% of 5600

10. If 52 means 5 x 5, work out 53.

Answer: ________

[2]

Answer: ________ [2]

11. For each of the following sets of numbers put + - x or ? in the box to make the calculation complete.

(a) 9

4 = 5

[1]

(b) 56

7 = 8

[1]

(c) 3

4

2 = 11

[1]

12. (a) How many lines of symmetry does this shape have ?

Answer: ________

(b) Draw in the lines of symmetry on the shape [2]

13. Write down in the spaces the next two numbers in each sequence.

(a) 6, 12, 18, 24, 30,

________ , ________

[2]

(b) 1, 3, 6, 10, 15, (c) 1, 4, 9, 16, 25,

________ , ________

[2]

________ , ________

[2]

14. Use this completed calculation to find the answers to the calculations below:

40 x ? 12.60 = ? 504

(a)

80 x ?12.60 =

[1]

(b)

20 x ?12.60 =

[1]

(c)

120 x ? 12.60 =

[1]

15. How many more squares need to be shaded on the grid below so that 25% of the entire grid is shaded?

Answer:

squares [1]

16. Use the picture of the thermometer on the right to help you answer the following questions:

(a) If the temperature at midnight was -3?C and the temperature at midday was 15?C, by how many degrees has the temperature risen ?

Answer: ___________ ?C [1]

(b) On a winter evening the temperature fell by 9?C from 4?C. What was the new temperature?

Answer: __________ ?C [1]

(c) A plane left Bangkok where the temperature was 35?C and arrived in New York where it was twenty seven degrees colder. What was the temperature in New York?

Answer: __________ ?C [1]

17. Circle the number below that gives the best estimate to the sum, do not attempt to work out the actual answer.

21.8 x 39.4

Circle an answer

60

80

600

800

6000

8000

[1]

18. Write down the size of any angle that is

(a) acute

[1] (b) reflex

[1]

Write down the size of the angle being measured

Answer:

[1]

19. (a) On Saturday, John ran for 1 hour and 8 minutes. If he finished at 11:42 am, at what time did he start his run ?

Answer:

[1]

(b) On Sunday, John ran for 97 minutes. If he started his run at 9:18 am, at what time did he finish his run?

Answer:

[1]

20. (a) Find the perimeter of the rectangle 11cm 6cm

(b) Find the area of the following shape 11cm

Answer:

10cm

16cm

4cm Answer:

cm

[1]

cm2

[2]

21. Complete the following sum:

4

_ 2

8

3 5 4

[3]

Section B

In this section the questions are more difficult. Do your best with these questions but do not expect to be able to answer all the questions. Do not spend too long on each one.

B1. Number towers are formed by adding the 2 numbers next to each other to form the number on top.

Examples

38 16 22

44

9

35

Since 16 + 22 = 38

Since 9 + 35 = 44

Complete the following number towers

(a)

....

(b)

92

(c)

....

25 47

36 .....

67 ....

32 ..... 21 [5]

B2. Michael looks in a book and sees an equation

p = 2q + 3.

It means " p is equal to two times the value of q and then add three "

Example If q = 6, then p = 2 x 6 + 3 = 15

a) Find p if (i) q = 4

Answer: p =

[1]

(ii) q=10 b) If p = 35, write down the value of q

Answer: p =

[1]

Answer: q =

[1]

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