Welcome to your ST ALBANS SCHOOL 11 PLUS MATHEMATICS EXAMINATION SPECIMAN PAPER - 1

1. The following fractions are equivalent. Fill in the missing numbers.

2. Calculate

129 × 32

3. Given that 42 × 17 = 714 , write down the answer to

(a) 42 × 34

(b) 714 ÷ 21

(c) 4.2 × 17

4. Write

(a) 0.37 as a percentage.

(b) 4/5 as a decimal

(c) 43% as a fraction

(d)

5. Find 35% of 80kg

6. Write in figures the number “two hundred and three thousand, one hundred and seventy”

7. Calculate 0.871 - 0.39 + 1.4

8. Given that

What is

9. Fill in the missing numbers in this division.

10. What time is 1 hour and 37 minutes later than 14 : 48 ?

11. If ²/3 of a number is 14 , what is the number?

12. I think of a number multiply it by 3 and then subtract 8. If the answer is -5 , what number did I start with?

13. (a) What number is half way between 3.2 and 5.6 ?

(b) What number is half way between -6 and +4 ?

14. Complete these calculations

(a) 21 × 6 + 9 × 6 = × 6 =

(b) 17 × 14 + 16 × 7 = × 7 + × 7 =

=

15. A space ship travels at 193 metres per second for 5 minutes 7 seconds. Use approximations to decide whether the distance travelled will be nearer 1 to km, 10 km, 60 km or 600 km. (You must show your working.)

16. Tom only has Smarties left, one each of Red, Green, Orange and Yellow.
If he chooses Smarties, list all the possible combinations of colours.

17. In a bowl there are 6 apples, 3 plums and 4 peaches. If I choose one piece of fruit
at random, what is the probability.

(a) That it is not a plum?

(b) That it is banana?

18. (a) Find the area of this shape.

(b) Find the perimeter.

19. In the sequence 1, 2, 3, 4, 7, 11........ each number after the second is the sum of the two previous numbers of the sequence. What is the 10th number of the sequence ?

20. The length of a rectangle is twice its width. Its area is 98 cm². Find its length and width.

21. In this question the diagrams are not drawn accurately, so the angles cannot be found by measuring with a protractor.
The angles of a triangle add up to 180°.

(a) In this triangle angle A is the same as angle B, and angle C is twice angle B. Work
out each of the three angles.

The angles round a point add up to 360°
(b) In the diagram below, one angle is 90° and the other three are equal to each other.
Work out the missing angles.

22. (a) Plot the following points

(2, 4) , (-3, 1) , (-2, 3)

Join them to form a triangle.

(b) Draw another triangle joined onto this one so that the combined shape has one
line of symmetry.

23. (a) List the prime numbers less than 20.

(b) A factor tree can be used to write a number as the product of prime factors.

For example:-

So 90 = 2 × 5 × 3 × 3

By drawing a factor tree, or using any other method you know, write as the product
of prime factors.

(c) Find the Lowest Common Multiple (LCM) of 24 and 36

24. An approximate method of deciding how much sleep a young person needs is to
subtract their age from 33 and divide by 2.

(a) How much sleep does an eleven year old need?

(b) How old is a person who needs 5 hours sleep?

(c) How old is the person who needs no sleep at all? (If the formula is correct!)

(d) Does it make sense to use the formula for older people? Give a reason for your
answer.

25. Nine bus stops are equally spaced along a bus route. The distance from the first to the third is 600 metres. How far is it from the first to the last?

26. When asked how many chickens and cows he had on his farm Mr Brown refused to answer directly, but he did say that the total number of heads was and the total number of legs was. How many of each was there?

27. Inside the large square (of “size 16”) a smaller square of “size 9” is shown shaded.

(a) How many different “size 9” squares are there inside the large square?

(b) How many different “size 4” squares are there inside the “size 16” square?

(c) How many different squares are there in total, taking into account all sizes and
positions?

ST ALBANS SCHOOL 11 PLUS MATHEMATICS EXAMINATION SPECIMAN PAPER – 1