Question
Work out \(\frac{2}{3} – \frac{1}{4}\), giving your answer as a fraction in its lowest terms.
Do not use a calculator and show all the steps of your working.
Answer/Explanation
Ans:
\(\frac{8}{12}\) and \(\frac{3}{12}\) oe
\(\frac{5}{12}\) cao
Question
Write the recurring decimal 0 15 . o as a fraction.
[0 15 . o means 0.1555…]
Answer/Explanation
Ans: \(\frac{14}{90}\) oe must be fraction
Question
(a) Write $0.70 as a fraction of $5.60, giving your answer in its lowest terms.
(b) Write the recurring decimal 0 18 . o o as a fraction in its lowest terms.
[ 0 18 . o o means 0.181818…]
Answer/Explanation
Ans:
(a) \(\frac{1}{8}\) cao
(b) \(\frac{2}{11}\)
Question
Write as a single fraction.
\(1 – \frac{2}{p} – \frac{3}{t}\)
Answer/Explanation
Ans:
\(\frac{pt-2t-3p}{pt}\) final answer
Question
(a) Write \(5^{-3}\) as a fraction
(b) Write 0.00456 in standard form.
Answer/Explanation
Ans:
(a) \(\frac{1}{125}\)
(b) \(4.56 \times 10^{-3}\)
Question
Write the recurring decimal 0 4. o as a fraction.
[0 4. o means 0.444…]
Answer/Explanation
Ans:
\(\frac{4}{9}\) oe, must be fraction
Question
Write the recurring decimal 0.4\(\dot{7}\) as a fraction.
Show all your working.[2]
Answer/Explanation
Ans:
9 47.77…– 4.77… oe
\(\frac{43}{90}\)
Question
Write the recurring decimal 0.17 as a fraction.
Show all your working.
Answer/Explanation
Ans:
\(10^k \times 0.17-[10] \times 0.17\) \(k \geqslant 1\) oe
\(\frac{16}{90}\) or \(\frac{8}{45}\) oe nfww
Question
Write the recurring decimal \(0.\dot{6}\dot{3}\) as a fraction.
……………………………………….
Answer/Explanation
\(\frac{7}{11}\)
Question
The diagram shows a regular pentagon and a kite.
Complete the following statements.
(a) The regular pentagon has …………………………….. lines of symmetry.
(b) The kite has rotational symmetry of order …………………………….. .
Answer/Explanation
(a) 5
(b) 1
Question
Write the recurring decimal \(0.\ddot{23}\) o as a fraction.[1]
Answer/Explanation
Ans:
3 \(\frac{22}{99}\)
Question
Write the recurring decimal 0.17 as a fraction in its simplest form.
You must show all your working.
………………………………………….
Answer/Explanation
17.77… – 1.77…
\frac{8}{45}
Question
Write the recurring decimal \(0.2\dot{6}\) as a fraction.
You must show all your working.
………………………………………….
Answer/Explanation
\(2.\dot{6}-0.2\dot{6}\)
\(\frac{4}{15}\)
Question
Write 0.37 as a fraction.
………………………………………….
Answer/Explanation
\(\frac{37}{99}\) fraction