Question
(a) 
Write down the fraction of the rectangle that is shaded.
Give your answer in its simplest form. [2]
(b) Write down a fraction that is equivalent to \(\frac{7}{12}\). [1]
(c) Write down a fraction that completes this calculation.[1]
(d) Find a fraction that makes this statement true.[1]
(e) Write these numbers in order, starting with the smallest.[2]
5.7 x 10-1 \(\frac{4}{7}\) \(\sqrt{0.33}\) 57.2%
……………….. 1 ……………….. 1 ……………….. 1 ………………..
smallest
Answer/Explanation
Ans:
2(a) \(\frac{4}{15}\) cao
2(b) \(\frac{7k}{12k}\) k ≠ 1
2(c) \(\frac{11k}{13k}\)
2(d) Any correct fraction
2(e) \(5.7\times 10^{-1},\frac{4}{7}\),57.2%,\(\sqrt{0.33}\)
Question
(a) Garcia and Elena are each given x dollars.
(i) Elena spends 4 dollars.
Write down an expression in terms of x for the number of dollars she has now.
(ii) Garcia doubles his money by working and then is given another 5 dollars.
Write down an expression in terms of x for the number of dollars he has now.
(iii) Garcia now has three times as much money as Elena.
Write down an equation in x to show this.
(iv) Solve the equation to find the value of x.
(b) Solve the simultaneous equations
$
\begin{array}{r}
3 x-2 y=3, \\
x+4 y=8 .
\end{array}
$
▶️Answer/Explanation
(a)(i) x-4
(ii) 2x+5
(iii)2x+5=3×(x-4)
(iv) x=17
(b) x=2,y=1.5