THE MANCHESTER GRAMMAR SCHOOL 11 PLUS ARITHMETIC PAPER 2013 - 1

Welcome to your THE MANCHESTER GRAMMAR SCHOOL 11 PLUS ARITHMETIC PAPER 2013 - 1

30 minutes
Do not this booklet until told to do so
Calculators may not be used
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. Try not to
leave blank answer spaces at the end, instead make the best attempt
at an answer as 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. Write in figures the number two hundred and twelve thousand
and fifty seven

212057 21257 201257 2012057 212507

2. Work out 675 - 428

247 257 267 277 347

3. Work out 254 x 80

20320 20020 16320 16020 2032

4. Write 0.28 as a fraction in its simplest form

\[\frac{7}{25}\] \[\frac{1}{3}\] \[\frac{1}{5}\] \[\frac{11}{25}\] \[\frac{1}{28}\]

5. What is the product of the sum of 6 and 3 with the
difference between 2 and 10

72 70 68 56 63

6. In a triangle, two angles are the same and the third
angle is THREE times bigger than either of the others.
What is the size of the biggest angle?

108 98 120 130 115

7. Neil thinks of a number, he halves it and then subtracts 9.
If the answer he gets is 12, what was the original number
he thought of?

42 6 7 32 22

8. John the electrician needs to cut three lengths of wire from
the 5 metre roll he has brought with him to do a job. The three
lengths he cuts are 85 cm, 2.5 metres and 650 mm. How much
wire (in cms) will he have left after cutting off his lengths?

100cm 200cm 300cm 400cm 500cm

9. My digital watch is set to show time according to the 24 hour
clock. It is currently showing 21:10. How long will it be until it
next shows a time with the digits 2, 1, 1 and 0 but in any order?

4hrs 2mins 4hrs 10mins 3hrs 15mins 5hrs 2mins 2hrs 20mins

10. Two shirts and three tops cost £29. Three shirts and one top
cost £19. What is the cost of a top?

£ 7 £ 4 £ 8 £ 6 £ 5

11. Work out 2.35 x 1.8

4.23 4.19 4.03 3.99 2.15

12. Work out 15% of £5

75p 55p 85p 95p 65p

13. Work out ¾ Of 5/6 Of 48

30 15 20 10 22

14. Two metal weights in the form of cuboids have the same volume.
One is 20 cm long, 16 cm wide and 9 cm high. The other
weight is 10 cm wide and 12 cm high. What is its length if the
volume of a cuboid is given by length x width x height?

24cm 12cm 72cm 36cm 48cm

15. On a wet week in Rusholme the mean (or average)
rainfall over the five days from Monday to Friday was
12 mm. On Monday, when the rain was heaviest there
was 22 mm, but on Friday there was only 5 mm of rain.
What was the mean rainfall on the other three days?

11mm 8mm 15mm 18mm 12mm

16. When I emptied my pockets recently I found I had a
mixture of 10p, 20p, 50p and £1 coins. When I counted
the value of all the coins, the total amount came to £7.20
and there was equal numbers of each coin. How many
coins were there altogether?

16 4 8 24 32

17. In the sequence of numbers 2, 3, 5, 8, 12 . . . . . . . .
what is the first three digit number?

107 109 110 120 105

18. What is the total when you add together all the factors
of 72 (including 1 and 72 itself)?

195 194 171 162 185

19. How many three digit numbers contain at least two sevens?

27 18 20 40 30

20. Alison has a large number of coloured pencils. When the
pencils are divided between two of her friends there is
one pencil left over. If they are divided between three
friends there are two left over. Between four friends there
would be three left over. Between five friends there would
be four left over and between six friends, five left over.
What is the smallest number of coloured pencils that
Alison could have?

56 53 47 65 41

THE MANCHESTER GRAMMAR SCHOOL 11 PLUS ARITHMETIC PAPER 2013 – 1