Rounding
Terminating or Recurring
Equivalence
Simplifying
100

Round 7.38 to 1 d.p

7.4

100

What is the difference between terminating and recurring decimals?

Terminating means it stops cleanly / has an end. Recurring means a digit pattern repeats endlessly.

100

Find the missing number to make this statement true: 2/3= _/12

8

100

Simplify the fraction 5/20 into its simplest form.

1/4

200

Round 8.464 to 1 d.p

8.5

200

Convert the fraction 1/4 to a decimal and state whether it is terminating or recurring.

0.25 - terminating

200

Write three different fractions that are completely equivalent to 1/5

Some options: 2/10, 3/15, 4/20, 5/25

200

Simplify 18/24 into its simplest form.

3/4

300

Round 10.832 to 0 d.p

11

300

Convert the fraction 1/3 to a decimal and write the answer using correct dot notation.

 \(0.\dot{3}\) 

300

Identify the fraction that is not equivalent to the others in this list: 4/6, 8/12, 10/15, 12/20

12/20

300

What is the Highest Common Factor (HCF) you need to use to simplify 36/48 in one single step?

12

400

Round 6.499 to 2 d.p

6.50

400

Convert the fraction 1/6 to a decimal and use dot notation to show the answer. Where does the dot go?


 \(0.1\dot{6}\) 

400

Use the digits 1, 2, 4, and 8 exactly once each to create two fractions that are perfectly equal to each other.

1/2 = 4/8

1/4 = 2/8

400

A fraction simplifies perfectly down to 2/3. If the original denominator was 45, what was the original numerator?

30

500

Round 13.999 to 1 d.p

14.0

500

Without converting them into division problems, explain why 3/8 will terminate but 2/3 will recur.

The prime factors of the denominator 8 are only 2s  2 \times 2 \times 2\) , which guarantees it terminates. The denominator 3 contains a prime factor other than 2 or 5, meaning it must recur.

500

Using the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 exactly once each, complete these three equivalent fractions:

2/6 = _/9 = 18/_ _

The missing numbers are 3 and 54 (to form

\(\frac{2}{6} = \frac{3}{9} = \frac{18}{54}\)

500

Simplify the fraction 120/300 into its simplest form

2/5

M
e
n
u