7+ Entrance Exam

November 18, 2019

NOTE: Pictures have been removed as not supported in this format. Same with the division sign!

You have one hour for this exam. Try to answer all questions. The value of each question is given in brackets.

1. Help finish these sums. Put your answers beside the = sign. (6 marks)

a. 3 + 8 =               b. 11 – 5 =              c. 9 + 14 =             d. 18 – 7 =

e. 37 + 6 =             f. 49 - 12 =

2. Can you put the correct sign +        –        x       / [divide]      in the box. (6 marks)

a. 6 [   ] 3 = 2        b. 11 [   ] 11 = 22     c. 5 [   ] 0 = 0        d. 1 [   ] 1 = 1

e. 37 [   ] 14 = 13 + 10      f. 10 [   ] 10 = 19 - 18

3. Write the following in words: (2 marks)

a. 431 _______________________________________________________

b. 205 _______________________________________________________

4. Can you fill in the blanks in these sequences? (4 marks)

a. 77, 66, [   ] , 44, [   ], 22, 11...

b. [   ] , [   ] , 9, 27, 81, 243...

c. 1, 3, 6, 10, 15, [   ] , 28, [   ] , 45...

d. 1100, [     ], [     ], 800, 700, 600...   

5. Calculate the following (5 marks):

a. 4 + 9 = [    ] + 2            b. 30 x 3 = 10 + [    ]        c. 9 + 11 + 4 = 2 x [    ]    

d. 12 + 9 – 4 =                 e. 21 – 7 + 16 = 5 x [    ]

6. a. Anna looks after her pony. She gives him 2 carrots each time he eats 3 buckets of hay. On Monday he ate 6 carrots.

How many buckets of hay did he eat on Monday? ____________ (1 mark)

b. Last week he got through 36 buckets of hay.

How many carrots did Anna give him last week? ____________ (2 marks)

7. a. George likes gardening. He has grown some sunflowers. One sunflower grew to 69 cms. His tallest one was 81 cms high.  

How much taller was that? ___________ (1 mark)

b. He planted 16 seeds. A quarter of them died. How many sunflowers did George manage to grow? ________________ (2 marks)

c. He watered them twice a day for 2 weeks.

How many times was that? ________ (2 marks)

8. Not suitable for this format.

9. White Rabbit is 30 minutes late for his 3.30 tea with Alice.

a. Draw hands on the clock face to show the time he arrived.

b. Mr Shah takes 15 minutes to catch his train. It leaves the station at 8.15. Draw hands on the clock face to show the time Mr Shah should leave home at the latest to reach the station on time.

c. Mum’s watch is 30 minutes fast. It says 11.15. Draw hands to show the correct time.     (3 marks)

10. a. Shade 1/2 of the circle:                             

b. How many quarters are now shaded in? ______ (2 marks)

11. From the following numbers, find one multiple for the given number:

         48     17      45     21      23     9       110

a. 2    ______

b. 5    ______

c. 10    ______                                 (3 marks)

12. What is the column and value of the underlined digit in the following numbers?

a. 489 __________________________________

b. 103 __________________________________.  (2 marks)

13. Write the following numbers in order of size from the smallest to the largest:

a.       211              33              221             13

   __________________________________________________

b. What is a number that lies between 27 and 14? ______________   (2 marks)

14. Round the following numbers to the nearest 10:

a. 89 ______        b. 13 ______        c. 25 ______

d. Using your answers to a. and b., estimate 89 x 13 = _______________ (4 marks)

15. Look at the following picture.

a. How many squares can you see? ________   b. How many triangles? ________

c. Mark one right angle on the picture. (3 marks)

16. Use a ruler to measure the length of the line below to the nearest half centimetre. Write your answer here: ______________ cm. (1 mark)

                                                            ______________________

17. Peter has drawn this shape:

Can you draw this shape with after an anti-clockwise half turn? A starting side has been given for you. (4 marks)

18. Marjorie slid her finger from start at the top left to finish at the bottom right, as shown below:

She started to write down a description of her movement. Complete the description of the movement:

1. Down 4 squares

2. Right 2 squares

3. ____________

4. ____________

5. ____________

6. ____________

7. ____________

8. ____________                   (5 marks)    



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The game of 24

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Notting Hill and Ealing School Past Paper (Maths)

A maths past exam from 2008 for Notting Hill and Ealing School, part of the London Independent Girls' School Consortium