**Time available: 60 minutes**

**Write your name and candidate number in the spaces provided at the top of the page.**

**Try to answer all the questions in the order that they appear.**

**Write your working and your answer in the space provided after each question. If you cannot answer a question, go on to the next.**

**If you run out of space for an answer, use the space provided after Question 12.**

**All your working must be shown because it may be worth some marks. Scrap paper must therefore not be used.**

**Take care to leave yourself enough time to answer all the questions.**

**Use any time you have left to make the best attempt you can at any questions you have not done.**

**Calculators may not be used.**

1. Write down the next number in each sequence.

(a) 5, 19, 33, 47,

(b) 1, 4, 9, 16,

(c) 2, 6, 18, 54,

(d) 88, 44, 22, 11,

(e) 300, 298, 294, 286, 270,

4. A ‘preble’ is a set of three numbers in which the last number is the product of the first two numbers, for example (3, 2, 6).

Work out the missing number in each of these prebles.

(a) (6, 1¹/3 , a) a =

(b) (12, b, 15) b =

(c) (c, 11, 1045) c =

(d) (0.5, d, 28) d =

(e) (0.4, e, 0.24) e =

6. Aidan can buy wine for his shop in two ways.

Firstly, he can buy cases which each contain 12 bottles of wine. Each case costs £40.

Secondly, he can buy single bottles of wine at a cost of £4.50 each. For every 6 bottles he buys, he gets 2 extra bottles free.

Aidan decides he needs 96 bottles of wine. Work out the cost by each of the two methods and then say which method is cheaper, and by how much.

11. In a list of numbers:

the **mode** is the number which occurs the most often;

the **median** is the number which is in the middle of the list when the numbers have been put in order;

the **mean** is the sum of all the numbers divided by how many numbers there are in the list.

For example, for the list 1, 4, 7, 1, 2,

mode = 1, median = 2, mean = 15/5 = 3

(a) Find the mode, the median, and the mean for the list 8, 5, 2, 16, 6, 5, 7.

mode =

median =

mean =

(b) Write down a list of three whole numbers for which the mode is 4 and the mean is 6.

(c) Write down a list of five whole numbers for which the mode is 9, the median is 4, and the mean is 5.

(d) Write down three different lists, each containing five whole numbers, so that for each list the mode is 1 and the mean is 2.

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