THE MANCHESTER GRAMMAR SCHOOL 11 PLUS PAPERS (2010-2018) ARITHMETIC- A- 2019

You have 30 minutes for this paper which is worth 20 marks.
Each question is worth 1 mark.
Answer all the questions, attempting them in order and writing your
answers clearly. If you find that you cannot answer a question straight away leave it blank and return to it later if you have time. Try not to
leave blank answer spaces at the end, instead make the best attempt
at an answer that you can.
If you need to change an answer cross it out neatly and write the new answer alongside the box. You may use rough paper for
working out, this will not be marked.

1. Work out 463 + 327

2. Express 18/25 as a decimal

3. Work out 547 x 3000

4. Work out  3.19  - 1.72

5. Add the product of 5 and 13 to the sum of 5 and 13

6. What is the missing number in this list
     101,   86,   74,   65, ......, 56

7. Work out  3¾ ÷ 2½, giving your answer in its simplest form

8. What is 30% of 550cm³

9. Express 42 minutes as a fraction of one hour, giving
your answer in its simplest form

10. What is the missing number in the following sum
         4,060,800 = 4,000,000 + ............. + 800

11. John thinks of a number. He multiplies that number by four
and then adds three to the result. If the answer he obtains is
35, what is the number he first thought of?

12. In a triangle, the largest angle is two times the middle angle
and the middle angle is three times the smallest angle.
What is the size of the largest angle?

13. Alison has 6 yellow discs, 5 blue discs and 9 red discs which
she places in a bag. When she draws one disc out, what is the
probability that the disc is NOT red?

14. A shopkeeper buys a box of 60 apples for £12. If he finds that 1/10 of the apples are bad and can’t be sold, at what price must he sell each of the good apples so that he makes a total profit of £15?

15. In the picture below is the net of a cube. What would be the
total surface area of the outside of the cube when the net is
made into the cube?

16. Two bottles of water and three small bags of fruit cost a total
of £2.55. If a bottle of water costs 15p more than a bag of fruit,
what is the cost of a bag of fruit?

17. Bilal has made a box in the shape of a cuboid with sides 4cm,
5cm and 32cm. He wants to make another different shaped box
but with the same volume. This box will have a height of 10cm
and a square base. What will be the length on the base?

18. A large number of buses stop at the bus stop at the end of
Old Hall Lane. The 42 bus stops there every 6 minutes, the
43 bus stops there every 8 minutes and the 45 bus stops every
15 minutes. If all the buses stop at the Old Hall Lane stop at
4.00pm, write down the total number of buses that will call at the
stop between 4.20 and 4.50pm.

19. In a school table-tennis league each team plays each of the
other teams twice during the year, once at home and once
away. If there are 30 matches in total during the season, how
many teams are there in the table-tennis league?

20. Chen writes down a two digit number. He finds that if he
swaps the digits of the number round, the new number he
creates is three more than one third of the original number.
What was the original number?