SmoothMaths - The Manchester Grammar School Entrance Examination 2017 Arithmetic Section A Online Quiz

Welcome to your THE MANCHESTER GRAMMAR SCHOOL 11 PLUS PAPERS (2010-2018) ARITHMETIC-A- 2017

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. Write in figures the number three hundred and eight thousand,
five hundred and twenty.

308520 3008520 380520 3080520 380502

2. Work out 825 - 573

252 352 452 552 652

3. Work out 2047 ÷ 23

89 79 99 69 59

4. Work out 5¹/3 × 3¾, giving your answer in its simplest form.

20 30 40 50 10

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

middel

\[\frac{2}{3}\] \[\frac{3}{5}\] \[\frac{7}{10}\] 55% 0.67

6. Work out 0.03 ×3200

96 86 76 66 56

7. Write 0.84 as a fraction in its simplest form

\[\frac{21}{25}\] \[\frac{19}{21}\] \[\frac{11}{26}\] \[\frac{13}{27}\] \[\frac{16}{25}\]

8. Which sum has been set out correctly to give the answer 67?

(8+4) x 6-5 (8+4) x (6-5) 8+4 x 6-5 both a & b none of the above

9. Add together the three lengths 1.4m, 33cm and 580mm
giving your answer in cm.

231cm 2310cm 92.4cm 753cm 614.4cm

10. Work out 30% of £16.80

£ 5.04 £ 4.84 £ 3.04 £ 3.84 £ 50.4

11. The average weight of five parcels is 3.7kg. Four of the
parcels are identical and each weigh 3.5kg. What is the
weight of the fifth parcel?

4.5 1.5 3.5 2.5 5.5

12. At a birthday party, 12 children said they liked orange juice
and 10 children said they liked lemonade. If 7 of these
children said they liked both and 3 others said they only
liked water, how many children were at the party?

18 10 12 32 28

13. Aidan was told to divide a certain number by 17. Instead he
divided the number by 7 and got the answer 68. What was
the answer to the division he was supposed to do?

28 25 38 18 48

14. A piece of string is 160cm long. It is formed into a rectangle
whose length is three times its width. Work out the area of the
rectangle in square centimetres (cm2)

1200\[cm^{2}\] 1100\[cm^{2}\] 1300\[cm^{2}\] 1400\[cm^{2}\] 1000\[cm^{2}\]

15. In the following diagram the two shaded rectangles have
equal areas. What is the total shaded area?
3cm

48\[cm^{2}\] 8\[cm^{2}\] 24\[cm^{2}\] 16\[cm^{2}\] 38\[cm^{2}\]

16. Nancy bought five oranges and two apples and they cost
£3.40. At the same shop, David bought three oranges and
one apple and paid £2.00. What would Steve have paid if
he bought four oranges and two apples from this shop?

£ 2.8 £ 1.8 £ 3.8 £ 4.8 £ 5.8

17. St Hugh’s School hall is in the shape of a large box or cuboid.
The area of the floor is 200m², the area of one of the side
walls is 150m² and the area of an end wall is 48m². What is
the height, in metres, of the hall?

6m 36m 7m 8m 9m

18. A number is “pro-added” if I multiply the number by itself
and then add the original number to that answer.
So, for example, pro-add (8) = 8 × 8 + 8 = 72.

What number gives the answer 210 when it is “pro-added”?

14 -15 -14 15 16

19. How many whole numbers less than 100 cannot be
divided exactly by 4 or by 5?

60 70 80 90 50

20. Two crosses can be put in three squares in three different
ways, as follows.

xxo

In how many different ways can you put three crosses in
five squares?

10 12 13 14 15