CHRISTS HOSPITAL 13+ Paper 1

Welcome to your CHRISTS HOSPITAL 13+ Paper 1

1. (a) Write the number 18.0663 correct to 2 decimal places.

(b) Write the number 10.234 correct to 3 significant figures .

2. Find two numbers that add up to give —12 and multiply together to make 32 .

3. Write 8 x 8 x 8 x 8 using power (index) notation.

4. Find the Lowest Common Multiple (LCM) of 24 and 30.

5.“If the Highest Common Factor of two whole numbers is 1, then each of those two numbers must be a prime number.”
Is this statement TRUE or FALSE?

6. Which one of these is closest in value to 7?

\[\sqrt{35}\] \[\sqrt{40}\] \[\sqrt{45}\] \[\sqrt{50}\] \[\sqrt{55}\]

7. Write 360 as a product of its prime factors. (You may wish to use a factor tree.)

8. Fill in the missing numbers to make a regular sequence:

21 3

9. Write a rule for the n-th term of the sequence 9, 14, 19, 24, 29, ...

10. Find the values of the angles marked a, b, c.

a=

b=

c=

11. Find the values of the angles marked d and e.

d=

e=

12. A line is drawn from the point A (1, 6) to the point B (9, 2).
M is the midpoint of AB.
Find the coordinates of M.

13. A machine produces large numbers of toy coins, in 5, 10, 20 and 50 pence values. The machine does not produce equal numbers of each value.
A randomly chosen coin made by the machine will have a value as shown on the table below.
One item of information is missing from the table.

Value, pence	5	10	20	50
Probability	0.4	0.3	0.2

One coin is chosen at random. Find the probability that it has a value of:

(a) 50

(b) 10 or 20

(c) not 5

(d) 40 coins from this machine are chosen at random.
Work out an estimate for the number of 10 pence coins chosen.

14. Work out

\[\frac{2}{3}\] + \[\frac{1}{4}\]

Show all of your working clearly

15. Find 95% of 600.

16. Express 11 as a percentage of 20.

17. Work out

7\[\frac{1}{2}\] - 2 \[\frac{2}{3}\]

Show all of your working clearly, and give your answer as a mixed fraction.

18. Alan wishes to decrease £140 by 10%.
Which one of these is a correct calculation to achieve this?
Put a tick alongside the correct calculation.

A. 140 x 0.1B. 140 x 0.9C. 140 ÷ 1.1D. 140 x 1.1

19. Draw the reflection of the letter T shape in the given mirror line.

20. Expand and simplify:

(a) 6(4x + 3)

(b) 2(x + 7) + 5(2s — 3)

(c) 10a — 2(z + 3)

Copy and complete, filling in the two gaps represented by the blocks ☐:

(d) ☐(5x + ☐) = 30x + 12

21. Solve the equation

5x + 7 - 2x + 31

You must show your working

22. Here is a quadrilateral. It is not drawn to scale.

(a) Find the value of x .

(b) Work out the value of the largest angle in the quadrilateral .

23. One of these points lies on the line with equation y = 3x + 1.
Which one is it?

(1, 3) (2, 8) (3, 9) (4, 13) (5, 14)

24. (a) Find the area of this rectangle. State the units.

(b) Find the volume of this cuboid. State the units.

25. Here is a number machine.

(a) Find the output y if the input x is 12.

(b) Use algebra to write a rule in the form y =

y=

26. Here are the ages, in years, of 8 adults:

21, 21, 21, 22, 22, 24, 25, 28

Their ages add up to a total of 184 years.

(a) Work out the mean of their ages.

(b) Write down the mode of their ages.

(c) Work out the median of their ages.

27. You are given that 247 X 43 = 10621

(a) Use this information to work out 2.47 X 4.3

(b) Use this information to work out 106210 ÷ 4300

28. Find the next two terms in each of these number sequences :

(a) 12, 15 , 18 , 21 , 24 , ,

(b) 1 , 3 , 6 , 10 , ,

(c) 2, 8 , 18 , 32 , 50 , ,

(d) 1 , 8, 27 , 64 , ,

CHRISTS HOSPITAL 13+ Paper 1

CHRISTS HOSPITAL 13+ Paper 1

Momin

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