CHRIST'S HOSPITAL PAPER 1

1. Work out the answer to each of these arithmetic problems:

a) 400 ÷ 50

b) Double 7.55

c) 3 × 4+5 × 6

2. Five children go toa café. They each pay £5.99 for a meal. Work
out the total amount they pay altogether.

3. Write down the next two items in each of these patterns:

a) 7, 11, 15, 19, _____ , _____

b) 96, 48, 24, 12, _____ , ______

c) 2, 4, 7, 11, _____ , ______

4. The diagram shows a protractor being used to measure the angle
between two lines.



The lines are labelled Line 1 and Line 2.

Use the protractor to measure the angle between Line 1 and Line 2.

5. Convert 35 centimetres into millimetres.

6. Convert 2750 grams into kilograms.

What name best describes the shape you have drawn?

8. Work out these divisions:

i) 568 divided by 8

ii) 1846 divided by 13 

9. Here are some instructions for a number-cruncher machine:



a) Find the output if the input number is 3 .

b) Find the input if the output number is 36 .

c) Molly says: “The output number is ALWAYS an EVEN number.”
    Give an example to show that Molly is WRONG.

10. A cup contains 250 millimetres. Roughly how many litres is this?
Put a ring round the best answer.



                                                    One-quarter _____ 2.5  _____ 25

11. Write down the three prime numbers in this list:
                  27   29   31   33   35   37   39

12. The fraction one eighth is roughly the same as one of these
percentages. Put a ring around the best one.

13. Find two-fifths of three hundred and twenty.

14.  Multiply 132 by 14.

15. Here are the ages of some dogs waiting at a vet clinic:

                                          1,   3,   4,   4,   5,   6,   6,   6,   10

a) How many dogs were there?

b) Find the mode of the ages of the dogs.

c) Find the total of the ages of all the dogs.

d) Find the mean of the ages of the dogs. Explain how you did it.

16. Six times a number, minus 4, is the same as four times the number, plus 10, What is the number?

17. Work out 2.16 times 8

18. (The drawing is NOT to scale)




a) Find the missing angle x°. Explain how you did it.

b) What type of triangle is this?

19. a) Find 10% of 450.

b) Find 30% of 130.

c) Find 23% of 400.

20. The diagram shows a T shape.The diagram is not accurately drawn to scale.



a) Write the two remaining lengths on the diagram.

b) Find the perimeter of the T shape. State the units.

c) Find the area of the T shape, showing how you did it.
    State the units.

21. If x is a number, then 3x means “three times x"

a) If x = 6, work out the value of 2x

b) If y = 7, work out the value of y + 3

c) If p= 5 and q = 3 work out the value of 3p + 4q

22. In England the money we use is pounds (£).
In Europe the money they use is euros (€).

£100 (pounds) is worth the same as €120 (euros).

a) How many euros would be worth the same as £500 (pounds)?

b) How many pounds would be worth the same as €300 (euros)?

c) Bruno has £600 (pounds). Marie has €700 (euros). Decide who
has the most money. Explain how you decided.

23. Cake stalls
Five people are selling cakes at market stalls.

Anton sells 2 cakes for £1.
Bella sells 5 cakes for £2.
Christy sells 9 cakes for £4.
Denis sells 11 cakes for £5.
Ed sells 21 cakes for £10.

Work out which person gives best value for money.

Explain how you decided.

24. Just a minute

Work out how many degrees the minute hand moves through between
07.30 and 09.15,

You can use the clock face to help you.

                                                                                                                 

25. Multiplication and Division
Here is the correct answer to a multiplication problem:
                       
                                6 × 5678 × 10 = 340 680

Use this information to help you work out the answer to this division
problem:

                                                     340 680 ÷ 5678 = _____

26. Boys and girls
At Casterbridge Academy the ratio of boys to girls is exactly 5:6.
There are 200 boys at Casterbridge Academy.

Work out the number of girls at Casterbridge Academy.

27. Mobile phone calls

My monthly mobile phone bill is in two parts: a fixed £10 service
charge plus 5 pence for each call I make.

In October my bill was £21.00.
In November I made twice as many calls as in October.

Work out the cost of my November bill.

28. Sweets

Luke, Fred and Evie have a bag of sweets.
Luke eats half of the sweets.

Fred eats two-thirds of what is left.

Evie eats the remaining 24 sweets.

Work out how many sweets were in the bag to begin with.

29. Cats and dogs

A farmer decides to buy some cats and some dogs.
Two cats and three dogs would cost £180.

One cat and four dogs would cost £190.

Work out the total cost of three cats and seven dogs.

30. Bacteria

Some bacteria are growing in a dish ina laboratory.
Each day the number of bacteria doubles.

On February 1% there are 200 bacteria.

On what day does the number of bacteria first become more than one million?

31. Number pattern
Here is the first part of a number pattern:

                                   13,  16,  19,  22,  25, ...

Which of these numbers will appear somewhere in the pattern?

                                    36,  46,  56,  100,  1000

32. Countdown
Here are six numbers:

                          50  25  9  7  2 1 

Using +, —, x, + and brackets try to make a target number of 790.

You may use the symbols and brackets as many times as you need, but
each number must be used exactly once.

If you can't make exactly 790 you may still score marks for a close attempt.