# Numeracy Test 5

1) A member of staff receives a pay rise of 5.2% in the first year, 6.4% in the second year and 3.7% in the third year.
a) If their starting salary is £15,000, what is their salary after 3 years ?
b) What is the overall percentage increase in salary over the first two years ?
c) If their final salary is £30,000, what was their starting salary ?

2) You deposit £50 in a high interest saving account that pays 7.3% annually.
How much money do you have after 4 and a half years ?

3) Item A is £21, item B is £32 and item C is £42.
a) How much more expensive is item B than item A, as a percentage ?
b) How much cheaper is item B than item C, as a percentage ?
c) If item D is 23% more expensive that item C, how much is item D ?

4) A shop sells 22 items in March and sales increase every month by 3%. What is the percentage increase from March to June ?

5) What is 19.23% more than 1923, to 2 decimal places ?

6) What is 19.23% less than 192.3, to decimal places ?

7) A member of staff has her salary increased by 7.2% to £31,000. What was her original salary before the increase ?

8) A member of staff has her salary increased by 8.2% to £32,000. What was her final salary after the increase ?

9) A member of staff has her salary decreased by 8.2% to £32,000. What was her salary before the decrease ?

10) Calculate 46.64% more than 100 ?

11) Calculate 64.46% less than 100 ?

12) Calculate 64.46% more than 200 ?

13) Calculate 46.64% less than 200 ?

14) Add up the following numbers, rounding them up first to 2 decimal places ?
123.321
56.999
62.555
74.099

15) Add up the following numbers, rounding them down first to 2 decimal places ?
123.321
56.999
62.555
74.099

16) What is 152 increased by 12% and the reduced by fifteen percent ?

17) You have 3 years left on your mortgage and have £6,000 left to pay. How much do you have to pay back every month as a percentage ?

18) You take three friends out to dinner. Your starter costs £4.90. Your main meal costs £16.78 and your desert costs £6.99. Lisa's total meal cost £22.40. Sarah's total meal cost £24.60. Melanie's total meal cost £23.60
a) How much more expensive is Melanie's meal than Lisa's meal as a percentage ?
b) How much less is Melanie's meal compared to Sarah's meal as a percentage ?
c) Calculate the average price of the meals ?
d) Who had the most expensive meal ?
e) What was the price of Sarah's starter if: Lisa's starter was 16% or her total; Melanie's starter was 16% of her total; the average starter price was £5.00 ?

19) What is 32% less than 999 ?

20) What is 33% more than 999 ?

21) If you start with the number two hundred and seventy seven and increase this number by fifteen percent, what is the new number ?

22) If you start with the number three thousand four hundred and thirty eight and decrease it by seventeen percent, what is the new number ?

23) What fraction of 2 hours is 15 minutes ?

24) In a class of 30 pupils, 11 are girls. What proportion are boys (as a fraction) ?

25) To make 2500ml of orange squash. 500ml of concentrate must be added. What proportion of water must be used to make up the rest (as a fraction) ?

26) A bag contains some coloured balls. There are 3 black, 2 red, 5 blue, 6 green and 7 yellow. David picks a ball at random. What is the chance that he doesn't pick a red ball ?

27) When Eric spins the spinner, what is the probability it will land on a number greater than 1 ?

28) Which of the following has the largest value: 2/5, 20%, 1/3, 35%, 0.3 ?

29) Out of 1400 dog owners surveyed, 8 out of 10 bought dog food from Tesco's. How many people bought from other supermarkets ?

30) 200 flights leave Heathrow in one day. 4/5 are domestic. How many are International ?