National 5 Numeracy
Practice Assessment 3
1) Calculate the following.
a)
3
7
+
2
3
b)
5
6
–
2
5
c)
3
10

5
d)
9
4
5

8
9
2) A random sample of people from Glasgow were asked what type of home they lived in.
1
1
3
4
1
5
said a bungalow, said a detached house, said a semi-detached house and the remainder said
a flat. What fraction of the sample said they lived in a flat?
3
3) A carpenter cut from a 1-metre-long piece of wood leaving himself two pieces of wood.
7
He then cut the larger piece into 3 equal pieces. What fraction of the original piece of wood are
these three smaller pieces?
4) Divide the following amounts by the given ratios.
a) 36 by 3:1
b) 84 by 4:3
c) 288 by 2:7
d) 663 by 4:9
5) A painter needs to mix blue and red paint in the ratio 5:4 to make purple paint. If he has
9450 millilitres of blue paint, how many millilitres of red paint will he need to make the purple
paint?
6) Divide the following amounts by the given ratios.
a) 54 by 1:2:3
b) 135 by 3:2:4
c) 602 by 4:1:2
d) £256 by 5:3:2
7) Ticket prices for a theme park come in 3 amounts depending on your age: child:adult:OAP.
The ratio for the price of a ticket is 1:5:2.
a) If a child ticket is £8, what is the price of an adult ticket and what is the price of an OAP
ticket?
b) The ratio of tickets sold one day was 4:7:1. If 22308 tickets were sold, what was the total
money taken that day?