Exam Questions

) Write down the value of each of the following:

a) 9² = 9 × 9 = 81

b) 4³ = 4 × 4 × 4 = 64

4) Three numbers multiply to give 288. Two of the numbers are -3 and 12?

What is the third number?

To find the third number, divide 288 by the product of the two given numbers (-3 and 12):

First, calculate -3 × 12 = -36.

Then, calculate 288 ÷ -36 = -8.

Therefore, the third number is -8.

5) Alanna buys 15 tickets for a concert for herself and some friends. Each ticket is the same price. She pays with £200 and gets £5 change.

How much does each ticket cost?

To find the cost of each ticket, we first subtract the change from the amount Alanna paid: £200 - £5 = £195. Then, we divide this amount by the number of tickets: £195 ÷ 15 = £13.

6) Georgie is a sales representative. She drives to different companies to sell air conditioning units. When she has to travel, her employer pays fuel expenses of 30p per mile. She drives to a job in the morning and drives home again later that day. She is also given £8 to cover any food expenses for each day that she is not in the office. The distances to her jobs for this week are shown on the right. Find Georgie’s total expenses for this weeks.

Monday: Buckshaw, 30 miles

Tuesday: in office

Wednesday: Wortham, 28 miles

Thursday: Harborough, 39 miles

Friday: Scotby, 40 miles

Total miles travelled = (30 × 2) + (28 × 2) + (39 × 2) + (40 × 2) = 60 + 56 + 78 + 80 = 274 miles.

Expenses for miles travelled = 274 × 30p = £82.20.

Expenses for food = 4 x £

8 = £32

Total expenses = £82.20 + £32 = £114.20.