THE MANCHESTER GRAMMAR SCHOOL 11 PLUS ARITHMETIC PAPER 2012 - 1

Welcome to your THE MANCHESTER GRAMMAR SCHOOL 11 PLUS ARITHMETIC PAPER 2012 - 1

30 minutes
Write your names, school and candidate number in the spaces provided at the top of the page.
You have 30 minutes for this paper which is worth 20 marks.
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. Do not leave blank answer spaces, 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.

1. Work out 379 + 485

864 854 764 654 754

2. Work out 274 x 70

19180 14180 18980 14980 19108

3.
25 1

5 \[\frac{7}{10}\] 4 \[\frac{1}{3}\] 4 \[\frac{6}{9}\] 4 \[\frac{2}{5}\] 4 \[\frac{1}{5}\]

4. Write in figures the number one million forty thousand
and four

1040004 140004 104004 1004004 14004

5. What is the missing number in this list
75, 66, ……, 48, 39

57 55 56 58 59

6. Ger has £2 made up of 20p and 10p coins. He has
twice as many 20p coins as 10p ones. How many
10p coins does he have?

4 5 3 2 6

7. “Comfyclothes” in the Arndale Centre reduces its prices
by 20% in its winter sale. Ian bought a coat for £60 in the
sale. How much would it have cost before the sale started?

£75 £48 £30 £80 £95

8. Alison has 8 more pencils than rulers. If she has a total of
52 pencils and rulers, how many rulers does she have?

22 30 42 52 12

9. Work out 35% of £4

£ 1.40 £ 1.20 £ 1.10 £ 1.30 £ 1.50

10. Two rectangles have the same area. One rectangle
is 28cm long and 12cm wide. The second rectangle
has width 7cm. What is the length of this rectangle?

48cm 38cm 58cm 28cm 18cm

11. Write 0.28 as a fraction in its simplest form.

\[\frac{7}{25}\] \[\frac{1}{3}\] \[\frac{6}{21}\] \[\frac{5}{11}\] \[\frac{3}{24}\]

12. Neil is allowed to watch three hours of TV each day in the
holidays. He watches cartoons from 6.20pm to 7.10pm and a
sports programme from 7.25pm to 9.00pm. For how much
longer could he have watched TV without breaking his rule?

35mins 45mins 55mins 25mins 15mins

13. If the following numbers were put in order which
number would be in the middle?

middleorder

\[\frac{2}{3}\] 0.66 \[\frac{3}{4}\] \[\frac{6}{10}\] 70%

14. Tim puts bricks which are all 2cm by 3cm by 4cm into
a box which is 15cm by 20cm by 16cm. What is the
greatest number of bricks he can put in the box?

200 300 400 20 0.002

15. For the first 12 months after I bought my new phone
I downloaded 4 apps to it each month. Over the next
7 months I only downloaded 1 app each month, but
this month I downloaded 5 new apps. What is the
average number of apps I have downloaded each
month while I have had the phone?

3 4 5 6 2

16. A red light flashes four times a minute and a green light
flashes six times a minute. If both lights start flashing at
the same instant, how many times do they flash at the same
instant in one hour including the first and the last time?

121 120 111 131 211

17. What is the smaller angle between the hands of a
clock at 2:30?

105 120 180 160 115

18. Andy works out the sums of numbers as follows 1+2, 1+2+3, 1+2+3+4 and so on.
What is the first of these sums of numbers that is greater than 80?

1+2+….+12+13 91 81 98 both a&b

19. How many different positive whole numbers are factors
of 72? (remember to include 1 and 72 as factors)

12 6 7 9 10

20. Jo writes down a two digit number. When she reverses the
digits and subtracts the smaller number from the larger
number the answer she gets is 36. What is the difference
between the two digits in her original number?

4 5 6 7 3

THE MANCHESTER GRAMMAR SCHOOL 11 PLUS ARITHMETIC PAPER 2012 – 1