Question 1(a): [1 mark]
Which of the following fractions results in a recurring decimal?
Answer type: Multiple choice type 1
A: \dfrac{9}{12}
B: \dfrac{4}{6}
C: \dfrac{3}{15}
D: \dfrac{8}{16}
ANSWER: B: \dfrac{4}{6}
Question 1(b): [1 mark]
Which of the following decimals is the same as \dfrac{11}{12}
Answer type: Multiple choice type 1
A: 0. \dot 9
B: 1. \dot 1
C: 0. 8 \dot 9
D: 0. 91\dot 6
ANSWER: D: 0. 91\dot 6
Question 1(c): [1 mark]
Which of the following fractions is the same as 0. \dot 6
Answer type: Multiple choice type 1
A: \dfrac{2}{13}
B: \dfrac{4}{9}
C: \dfrac{6}{9}
D: \dfrac{13}{50}
ANSWER: C: \dfrac{6}{9}
Question 2: [2 marks]
Find what \dfrac{7}{12} is as a recurring decimal. Choose the correct answer below.
Answer type: Multiple choice type 1
A: 0. \dot 5
B: 0. 41 \dot 6
C: 0.58 \dot 3
D: 0. \dot 5 3846 \dot 1
ANSWER: C: 0.58 \dot 3
WORKING: 7 \div 12 = 0.58 \dot 3 using the bus stop method or equivalent.
Question 3: [3 marks]
\dfrac{1}{4} as a decimal is 0.25.
Find the fraction which is equivalent to 0. \dot 2 \dot 5.
Answer type: Fraction
ANSWER: \dfrac{25}{99}
WORKING:
x = 0. \dot 2 \dot 5100x = 25. \dot 2 \dot 5
99x = 25
x = \dfrac{25}{99}
Question 4: [3 marks]
Find what 0. \dot 1 3 \dot 5 is as a fraction in simplest form.
Answer type: Fraction
ANSWER: \dfrac{5}{37}
WORKING:
x = 0. \dot 1 3 \dot 51000x = 135. \dot 1 3 \dot 5
999x = 135
x = \dfrac{135}{999} = \dfrac{5}{37}
Question 5: [2 marks]
Janet completes 4 steps out of 11 in order to unlock an achievement on her favourite app.
What is the proportion of the achievement that Janet has completed as a recurring decimal. Choose the correct answer below.
Answer type: Multiple choice type 1
A: 0.3 \dot 7 \dot 2
B: 0. \dot 3 6 \dot 0
C: 0. \dot 3 \dot 6
D: 0.36 \dot 1
ANSWER: C: 0. \dot 3 \dot 6
WORKING: 4 \div 11 = 0. \dot 3 \dot 6 using the bus stop method or equivalent.