Numeracy Tests

Keep a close eye on the time, have a stop watch in front of you.
Highlight the keywords and important numbers in the question.
Make sure your answer has the correct accuracy: nearest whole number, 2 decimal places, 3 significant figures.
When answering 'to 2 decimal places' remember that you may need to round the number, egg 2.464 is rounded to 2.46 and 2.466 is rounded to 2.47
Use mental strategies. For example, 5 times £4.99 can be worked out by multiplying 5 x £5 (£25) and subtracting 5 x 1p (5p) to give £24.95, rather than working it out using written methods, which can take longer.
Convert all percentages to decimals.

Numeracy Test 1

1) The price of a car increases by 4% one year and then 5% the following year. What has been the total percentage increase over the two years ?

2) An electrical item is discounted by 50%. A week later there is a further 20% off. What is the overall percentage discount ?

3) A member of staff has her salary increased by 6% to 31,000. What was her original salary before the increase ?

4) A shop orders 240 t-shirts in several different sizes. The ratios of S, M, L are 1:3:2. How many small t-shirts does the shop get ?

5) A shop places an order for more jumpers. The order is for S, M, L, XL in the following ratio: 3:4:5:3. If the shop receives 60 Medium jumpers, how many jumpers were ordered in total ?

6) There are 5 items with a average price of £6.00. Two of the items are £7.50. One of the items is £7.00. One of the items is £8.00. What is the price of the remaining item ?

7) Calculate 500 divided by 50 plus 50 ?

8) Calculate 500 minus 50 times 10 ?

9) There were 25,000 t-shirts sold and 80,000 trousers sold in March. The average selling price of t-shirts is £300 per 50. The average selling price of trousers is £150 per 50. What was the total value of t-shirts and trousers sold in March ?

10) A factory produced 20,000 items in 2017. Production increases by 26% in 2018 and the average selling price is £300 per 50. What is the total value of items produced in 2018 ?

11) A shop sells 20 items in November and 25 items in January. What is the percentage increase from November to January ?

12) Calculate 20 times 20 plus 20 ?

13) Teachers organised activities for three classes of 28 pupils and four classes of 26 pupils. What was the total number of pupils involved ?

14) All 30 pupils in a class took part in a sponsored spelling test to raise money for charity. The pupils were expected to get an average of 18 spellings correct each. The average amount of sponsorship was 20p for each correct spelling. How much money was the class hoping to raise for charity ?

15) Six out of 25 pupils scored full marks in a test. What percentage of pupils scored full marks ?

16) What is six hundred and forty-three divided by zero point one?

17) In a class of 24 pupils, three need additional support. What fraction of the class do not need additional support ?
Give your answer in its lowest terms.

18) A teacher took the class on a school trip. The total cost for the group was 180 euros. Taking 1.6 euros as equal to one pound, what was the total entrance cost, in pounds, for the class ?

19) A student achieved 84 marks out of a possible 120 in a test. What percentage mark did the student achieve for the test ?

20) A school trip was planned at a total cost of £120 per pupil. The accommodation cost two-fifths of the total. What was the cost of the accommodation per pupil ?

21) In a year group of 120 pupils, 15 achieved an A* in GCSE English. What percentage of the year group achieved an A* in GCSE English ?

22) A sixth form group raises £82.50 for charity. The money will be equally divided between three charities. How much money will each charity receive from the group?

23) A teacher attends a consortium meeting. The journey is 7.5 miles each way. Travel expenses may be claimed at 40p per mile. How much is the teacher entitled to claim for travel expenses ?

24) A teacher plans a school trip which includes a 152-kilometre coach journey in France. As an approximation, 8 kilometres is equal to 5 miles. Using this approximation, how long is the journey in miles ?

25) A group activity contains two tasks. In the first task all 5 members of a group achieve 3 marks each. In the second task 2 members achieve 4 marks each and the other 3 members achieve 3 marks each. What is the total number of marks achieved by the group ?

26) A school trip is planned for 56 pupils. There must be at least one adult for every 8 pupils. What is the minimum number of people on the trip ?

27) What is 15 per cent as a decimal ?

28) In a year group of 45 pupils, 27 were boys. What fraction of the year group was girls ?
Give your answer in its lowest terms.

29) There are 35 schools in a local authority. Twenty-eight schools have been inspected in the last 4 years. What percentage has not been inspected ?

30) 0.9 of a year group of 180 pupils took part in a school sports day. How many pupils did not take part ?

Numeracy Test 2

31) A member of staff has a current salary of £26,000. What is their new salary if they receive a 10% pay rise ?

32) A member of staff has a current salary of £18,500. What is their new salary if they receive a 12.5% pay rise ?

33) A member of staff has a current salary of £40,000. What is their new salary if they receive a 10% pay rise ?

34) Multiply 200.46 by fifteen and round it up to 2 decimal places ?

35) Multiply 543.878 by two hundred and fifteen and round it up to 2 decimal places ?

36) You colleague gets a pay rise. Their salary was £21,000 and is now £26,000. What is the percentage increase ?

37) You colleague gets a pay rise. Their salary was £36,000 and is now £40,000. What is the percentage increase ?

38) You colleague gets a pay rise. Their salary was £16,500 and is now £23,000. What is the percentage increase ?

39) A shop places an order for more trousers in three different sizes. The sizes are S, M, L and the ratio for the order is 3, 4, 2. How many small trousers were ordered if 88 large trousers were ordered ?

40) Calculate a half add three quarters plus 4 ?

41) Calculate 23% of 200 ?

42) Multiply 23.4 by 16.3 and round it down to the nearest whole number ?

43) Multiply 53.9 by 15.77 and round it up to the nearest whole number ?

44) A factory produced 16,000 items in 2017. Production decreased by 18% in 2018 and the average selling price is £200 per 25. What is the total value of all the items produced in 2018 ?

45) The average price of 7 items is £2.20. Four of the items are priced at £2.10. If the other three items are all the same price. How much are they ?

46) Your colleague gets demoted. Their pay decrease is 5% and they were earning £19,000. What is their new salary ?

47) What is 14% more than 20 ?

48) What is 18% more than 32 ?

49) Calculate 6% less than 900 ?

50) Calculate 100 plus 18% minus 15% ?

51) What is half of forty four divided by two, plus 60 and multiplied by 3 ?

52) Add up the following numbers. What is the answer to 2 decimal places.
3.062
45.843
17994
242.242

53) Add up the following numbers. What is the answer to 2 decimal places.
16.26
132.512
66.666
264.595

54) Calculate 600 minus 60 times 10 ?

55) What is four thousand and twenty three divided by zero point zero one ?

56) What is one half multiplied by two thirds to 1 decimal place ?

57) Calculate 50 plus 50 times 50 divided by 50 ?

58) Calculate (50 + (50 * 50)) / 50 ?

59) Eight out of 34 pupils passed the exam. What percentage is this ?

60) An electrical item is discounted by 30%. A week later there is a further 15% off. What is the overall percentage discount ?

Numeracy Test 3

61) If you enter a casino with £150 and leave with £95. What percentage of the original amount did you spend ?

62) A friend joins your company as a graduate on a salary of £16,500. Three years later they are earning £24,000. What has been the average yearly percentage increase ?

63) What is 13.2% of 450 ?

64) What is 450 minus 15% ?

65) A fish tank contains 15 fish. 3 days later 2 of the fish are dead. What percentage is left ?

66) Your colleague gets a pay rise. Their salary was £20,500 and is now £28,000. What is the percentage increase ?

67) A member of staff has her salary increased by 7% to £32,000. What was her original salary before the increase ?

68) 0.8 of a class of 31 pupils took park in a school trip. How many pupils did not take part ?

69) Your colleague gets a pay rise. Their salary was £24,000 and is now £34,000. What is the percentage increase ?

70) A member of staff has a current salary of £26,200. What is their new salary if they receive a 5% pay rise ?

71) Your colleague gets demoted. Their pay decreases by 4.5% and they were earning £21,500. What is their new salary ?

72) Calculate 7% less than 67 ?

73) Growing up, you lived in a tiny country village. When you left for college, the population was 840. You recently heard that the population has grown by 5%. What is the present population ?

74) Your friend diets and goes from 125 pounds to 110 pounds. What was her percentage weight loss ?

75) Your boss says that his wife has laid new turf along the whole back end of their garden over an area of 18x15 square feet. He says that this has covered 24% of the garden.
a) What are the total dimensions of his garden ?
b) What are the dimensions of the remaining lawn area ?

76) A computer software retailer used a mark up rate of 40%. Find the selling price of a computer game that cost the retailer $25 ?

77) Calculate 6.5% more than 77 ?

78) A golf shop pays its wholesaler $40 for a certain club, and then sells it to a golfer for $75. What is the mark up rate ?

79) A shoe store uses a 40% mark up on cost. Find the cost of a pair of shoes that sells for $63 ?

80) An item originally priced at $55 is marked 25% off. What is the sale price ?

81) An item that regularly sells for $425 is marked down to $318.75. What is the discount rate ?

82) An item is marked down 15%; the sale price is $127.46. What was the original price ?

83) What percent of 20 is 30 ?

84) What is 35% of 80 ?

85) 45% of what is 9 ?

86) Suppose you bought something that was priced at $6.95, and the total bill was $7.61. What is the sales tax rate in this city? (Round answer to one decimal place.)

87) Suppose a certain item used to sell for seventy-five cents a pound, you see that it's been marked up to eighty-one cents a pound. What is the percent increase ?

88) Calculate 6.9% more than 79 ?

89) 65% of what is 9 ?

90) Your colleague gets demoted. Their pay decreases by 6.5% and they were earning £23,500. What is their new salary ?

Numeracy Test 4

91) If you enter a casino with £260 and leave with £195. What percentage of the original amount did you spend ?

92) A member of staff has her salary increased by 6.5% to £34,000. What was her original salary before the increase ?

93) A shop sells 18 items in March and 33 items in July. What is the percentage increase from March to July ?

94) A student achieved 78 marks out of a possible 115 in a test. What percentage mark did the student achieve for the test ?

95) A member of staff has a current salary of £50,000. What is their new salary if they receive a 10% pay rise ?

96) You colleague gets a pay rise. Their salary was £38,000 and is now £42,000. What is the percentage increase ?

97) Calculate the interest earned on £420 when it is put in an account which pays an interest rate of 7% per year.

98) Someone buys a car costing £7,500. It depreciates in value each year by 7%. By how much had the car depreciated after 2 years?
Round to the nearest penny.

99) The cost of a toaster is £25 (excluding VAT). If VAT is calculated at 20%, calculate the price of the toaster including VAT ?

100) Someone buys a car costing £12,500. It depreciates in value by 8% in the first year, 10% in the second year and 5% in the third year. What is the car worth after 3 years?
Round to the nearest penny.

101) A magician buys a rabbit for £60 and a pigeon for £70. How much is the pigeon more expensive than the rabbit as a percentage ?

102) What is 19% more than 378 ?
Round to the nearest 1 decimal place.

103) What is 13% less than 289 ?
Round to the nearest 2 decimal place.

104) What is 15% more than 378 ?
Round to the nearest 1 decimal place.

105) What is 46% less than 289 ?
Round to the nearest 2 decimal place.

106) What is 250 minus 15% ?

107) What is 18.2% of 450 ?

108) Your colleague gets demoted. Their pay decreases by 6.5% and they were earning £23,500. What is their new salary ?

109) A member of staff has a current salary of £76,000. What is their new salary if they receive a 8% pay rise ?

110) Your colleague gets a pay rise. Their salary was £26,000 and is now £31,000. What is the percentage increase ?

111) Your colleague gets a pay rise. Their salary was £26,000 and is now £33,000. What is the percentage increase ?

112) Calculate 7% less than 67 ?

113) Calculate 9% less than 76 ?

114) A friend buys a loaf of bread for £1.20 and a bunch of bananas for £2.30. How much is the bananas more expensive than the loaf of bread as a percentage ?

115) What is 29% more than 377 ?
Round to the nearest 1 decimal place.

116) Someone buys a car costing £8,500. It depreciates by 11% in the first year. By how much has the car depreciated after 1 year ?
Round to the nearest penny.

117) A member of staff has a current salary of £56,000. What is their new salary if they receive a 11% pay rise ?

118) Your colleague gets a pay decrease. Their salary was £26,000 and is now £21,000. What is the percentage decrease ?

119) What is 22% more than 378 ?
Round to the nearest 3 decimal place.

120) Calculate the interest earned on £390 when it is put in an account which pays an interest rate of 9% per year ?

Numeracy Test 5

121) 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 ?

122) 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 ?

123) 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 ?

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

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

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

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

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

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

130) Calculate 46.64% more than 100 ?

131) Calculate 64.46% less than 100 ?

132) Calculate 64.46% more than 200 ?

133) Calculate 46.64% less than 200 ?

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

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

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

137) 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 ?

138) 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 ?

139) What is 32% less than 999 ?

140) What is 33% more than 999 ?

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

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

143) What fraction of 2 hours is 15 minutes ?

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

145) 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) ?

146) 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 ?

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

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

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

150) 200 flights leave Heathrow in one day. 4/5 are domestic. How many are International ?

Numeracy Test 6

151) A member of staff has their salary increased by 5% to £32,000. What was the original salary ?

152) A member of staff receives a pay rise of 5%. There new salary is £35,000. What was their salary before the pay rise ?

153) A member of staff has their salary decreased by 5% to £32,000. What was the original salary ?

154) A member of staff has been demoted to a new salary of £26,000. This has been reduced by 6%. What was their salary before they got demoted ?

155) A member of staff gets a pay rise. Their salary was £32,000 and is now £36,000. What is the percentage increase ?

156) What is the percentage increase if the number 16 is increased to 20 ?

157) A member of staff gets a pay cut. Their salary was £36,000 and is now £32,000. What is the percentage decrease ?

158) What is the percentage decrease if the number 21 is reduced to 17 ?

159) A member of staff has a salary of £31,000. They receive a pay rise of 4%. What is their new salary ?

160) What is 15% more than 220 ?

161) A member of staff has a salary of £31,000. They receive a pay cut of 4%. What is their new salary ?

162) What is 15% less than 220 ?

163) If 12.5% is equal to 10, How many is 100% ?

164) If 20% is equal to 130. How many is 80% ?

165) Matthew takes three friends out for dinner. They spend £65.40 on drinks, £43.50 on starters and £96.70 on their main meal. At the end of the night they split the bill and all have to pay £85.96. How much was spent on dessert ?

166) Calculate (2 x 14.672) - (3 x 6.475) + (4 x 9.876) + (5 x 5.556) to 2 decimal places ?

167) Calculate 2 sevenths of 84 ?

168) Lisa is 20 minutes late for a film that is 2 hours long. What fraction of the film did she miss ?

169) In a class of 26 pupils, four need additional support. What fraction of the class do not need additional support.

170) What is 89,555 rounded to the nearest 10 ?

171) What is 89,555 rounded to the nearest 100 ?

172) What is 89,555 rounded to the nearest 1,000 ?

173) Round 249.5046 to 1 decimal place ?

174) Round 249.5046 to 2 decimal places ?

175) What is 98,347 rounded to 1 significant figure ?

176) What is 98,347 rounded to 2 significant figures ?

177) Gary has 21 marbles. He has "x" red marbles. He has 3 more blue than red. He has 4 times as many green as red. How many red marbles does he have ?

178) A length of wood is 220cm long. It is cut into lengths of 30cm. How many complete pieces are made ?

179) Kevin wants to estimate the length of a room. It is 15 strides from one end to the other end. What is the approximate length of the room. 40m, 1400mm, 1400cm, 2000m, 3km ?

180) At a school, the girls and boys are in the ratio 8:9. If there are 72 boys, how many girls are there ?

Numeracy Test 7

181) Two students both attend a sponsored walk to raise money for charity. They each walk 24 miles and are sponsored at 24 pence per mile. How much do they raise in total? Give your answer in pounds.

182) What is 325 divided by 0.2?

183) A PE department has 42 footballs. If 28 of the footballs are blue, what proportion of them are not blue? Give your answer as a decimal to two decimal places.

184) $420 is raised at a Funday. 6/7 of the money is donated to charity. How much profit is raised ?

185) Given that 3x + 9y = 6z. What is the value of x + 3y (in terms of z) ?

186) The area of a square is 64cm2. What is the perimeter of the square ?

187) The probability it will snow on Christmas Day is 0.02. What is the chance it will not snow ?

188) Mike is using a map where 1cm represents 2km. His walk is 8cm on the map. How far was his actual walk ?

189) Jake is driving at a speed of 64kmh or 40mph. Lee is cycling at a speed of 32kmh or 20mph. What is 96kmh in mph ?

190) A map has a scale of 1:25,000. What is the actual distance of 4cm ?

191) If "p" is 3/4 of "q". What is 3q ?

192) Stuart was "y" years old 13 years ago. How old will he be in 2 years time. Write your answer in terms of "y".

193) An apple farm picked 1116 apples.
These apples were divided into bags with 12 applies in each bag. How many bags did they fill ?
The bags are sold with an offer of "buy 2 get 1 free". Each bag is sold for £3.00
How much does the farm earn for the 1116 applies ?

194) A supermarket is selling christmas trees for £50. Everything is reduced by 10%.
How much is the tree now ?

195) For one day only the supermarket is reducing everything by a further 10%.
How much is the tree now ?