The Manchester Grammar School Entrance Examination 2016 Arithmetic Section A Online Quiz

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 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 983 + 254

2. Work out 573 x 300

3. Write 7/20 as a decimal number.

4. What fraction of a day is 9 hours? Write your fraction in its
simplest form.

5. What is the missing decimal number in this list
2.7,  4.3, ........., 7.5,  9.1

6. Work out 4¼ - 1³/5

7. Work out 6.48 – 0.6, writing your answer as a decimal number.

8. Subtract the difference between 62 and 35 from the product
of 13 and 6.

9. One of the angles in a triangle is 40°. One of the remaining
two angles is three times larger than the other angle. What is
the largest angle in the triangle?

10. A shop reduces its prices by 20% in a sale. David bought a
coat for £40 in the sale. How much would the coat have
cost him before the sale?

11. Nigel folds a square piece of paper in half to give a rectangle
which has a perimeter of 36 cm. What is the area of the
original square?

12. Rachel buys three identical bags of sweets and five cans of
drink, the total cost of these items came to £4.90. Rosie buys
just one bag of sweets and three cans of drink and pays £2.70.
What is the cost of a bag of sweets?

13. Tim has three apples. The mean (average) weight of the
three apples is 90 grams. When Tim eats the largest apple,
the mean weight of the remaining two apples is just 70 grams.
What was the weight of the largest apple?

14. In the sequence of numbers which starts 2, 3, 5, 9, .........
each number is one less than two times the previous number
in the list. What is the number in the list immediately
before 257?

15. A plant is growing at a steady rate of 0.2 cms every day.
At midday on January 19th the plant was 6 cms high.
What will the date be when it reaches a height of 11 cm?

16. A bag contains coloured counters of just two colours.
There are twenty green counters numbered 1 to 20 and
thirty blue counters numbered 1 to 30. What is the probability
of picking a counter from the bag which is a multiple of four?

17. Lathes Engineering produces ten boxes of screws every
minute. It has to produce 48,000 boxes of screws in five days.
If its machines work an equal amount of time each day, work
out the number of hours which will be needed each day to
produce the boxes of screws needed.

18. At Frantic Junction, trains arrive at regular intervals on three
different lines. On the line from Aytown, trains arrive every
15 minutes. On the line from Beeville, they arrive every
12 minutes and from Ceeford they arrive every 8 minutes.
At 10.00am a train from each town arrives at Frantic Junction.
What is the next time that three trains will arrive together.

19. Irfan has six fraction cards as shown below



Write down a possible way in which he can add
three or more cards to get the answer ½

20. 83 is a prime number. If Nancy reverses the order of the
digits she gets 38 which is not prime. How many two digit
primes do give a different prime number when their digits
are reversed?