Quick Module 3 Test

Question 1: Find the following decimals as fractions
a) 0.121212...
b) 0.31212...

Question 2: Write the following as 2 ^a
a) 2³ × 2 ⁵
b) 2 ⁶ ÷ 2 ^{- 2}
c) 4 ³

Question 3: Approximate the value of the following expression:

32.6× 4.3 0.178

Question 4:
a) A TV initially cost £310. This is increased by 14%. Find the new cost
b) There are 45 boys in a school. 70% of the school are girls. How many students are there in the school

Question 5: Write the following numbers as the product of prime factors, in indice form (Prime numbers multiplied together)
a) 15
b) 24
c) 38
d) 45

Question 6: Answer the following fraction questions
a) 1/3 + 2/5
b) 4 1/2 + 3 1/7
c) 3 1/6 × 2 1/2

Question 7:
We are told y is proportional to the square of x. When x = 3, y = 7.
a) Find an equation linking x and y
b) Find x, when y = 10

Question 8: One bag of coal weighs 30 kg to the nearest kg
a) What is the maximum and minimum that one bag could weigh
Now suppose that a lorry can safely carry 510 kg (2 sf)
b) How many bags could the lorry safely carry?