Part 1 - Using Numeracy

Question 1

Explain the terms (a) numerator, (b) denominator.

Question 2

Express 24/40 and 18/42 in their simplest forms.

Question 3

a) Express the fractions 2/3, 3/4 and 5/6 as equivalent fractions with a denominator of 12.

b) A library contains 60,000 books. 14,000 are on the subject of business, 22,000 are on healthcare and 12,000 on psychology and law. What percentage of the library’s books is on computing, if computing books make up two-thirds of the remainder?

Question 4

A sports shop in Manchester is doing a sale on some merchandise. Liz hears about it and goes to make a purchase of two pairs of running shoes. She gives the sales attendant in the store three crisp £50 notes and is given change of £10.50. What is the price of each pair of running shoes? Show your working. 

Question 5

a) What is 240.50 x 19.54? Give your answer to 2 significant figures.

b) Write the number 52100 as a power of 10. 

Question 6

a) As a promotional offer, a new gym is offering a 30% discount to those who sign up in the first month. Patty and her 2 siblings take advantage of the offer and sign up for total amount of £210. What were the total savings made? Show your working.

b) Work out the average savings per person.

Question 7

Work out the following:

a) 3/4 - 7/9 + 2/3

b) Which is the largest of the following numbers?

0.1, 0.02, 0.003, 0.0004, 0.00005

Question 8

90 men and 60 women were asked if they had watched the latest ‘Expendables’ movie.

Altogether 3/5 of the people said Yes.

3/10 of the women said Yes.

What percentage of the men said No? (Show your working)

Question 9

Annabelle lives at Bermondsey in London. She has to speak at a conference in Birmingham at 10.30am. It will take her an hour from her home to get to Euston Rail Station, from where she will get a train to Birmingham. The train journey from Euston to Birmingham is an hour and 10 minutes. Trains to Birmingham run at the following times: 5 minutes past the hour, 25 minutes past the hour and 45 minutes past the hour. The meeting venue in Birmingham is a 5-minute walk from the station. What is the latest time that Annabelle can leave home, if she is to make it on time for the meeting in Birmingham? Show your working.

Question 10

A box of Shredded Wheat weighs 0.35 kg and a box of Weetabix weighs 9/25 kg? Which box is heavier? Show your working.