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(a) Write forty five thousand in figures.
Answer(a) ............................................................... [1]
(b) Write in words the number 2136.
Answer(b) ................................................................. [1]
Work out.
$3 + 4 \times 5$
Answer .....................................................
Complete the table.
[Table_1: Fraction, Decimal, Percentage]
Write down the value of the following.
(a) \( \sqrt{81} \) Answer(a) \text{..................................................} \ [1]
(b) \( \sqrt[3]{125} \) Answer(b) \text{..................................................} \ [1]
Change 4.1 metres into millimetres.
Answer .......................... mm
Name two 4-sided shapes with rotational symmetry order 2.
Answer ...................................................... and .......................................................
Divide $35 in the ratio 4 : 3.
\textit{Answer}$.................$and$.................$ [2]
The mean of four numbers is 10. Three of the numbers are 6, 15 and 12. Find the other number.
Work out.
$$\frac{7}{10} - \frac{2}{5}$$
Answer \text{ .....................}
Expand the brackets.
$4x(2x - 3)$
\textit{Answer} ....................................................
Solve the following simultaneous equations.
$$\begin{align} 4x + y &= 13 \\ 2x - y &= 5 \end{align}$$
\textit{Answer} \(x\) = \underline{\hspace{50mm}}
\(y\) = \underline{\hspace{50mm}}
(a)
Find the value of $x$, giving a reason for your answer.
\textbf{Answer(a)} $\text{.....................}$ because $\text{........................................................................}$
[2]
(b)
The diagram shows a circle, centre $O$.
Write down the size of angle $ACB$. Give a reason for your answer.
\textbf{Answer(b)} = $\text{.....................}$ because $\text{........................................................................}$
[2]
A fair 6-sided spinner is numbered 1, 2, 2, 2, 3 and 3. The spinner is spun once.
Find the probability that the spinner lands on 3.
These two rectangles are similar.
Find the value of \( x \).
Answer \( x = \text{.....................} \)
f(x) = 3x + 1
Find
(a) f(4), Answer(a) .............................................................. [1]
(b) f\left(-\frac{1}{3}\right). Answer(b) .............................................................. [1]
Describe fully the single transformation that maps
(a) triangle $A$ onto triangle $B$,
\textit{Answer(a)}
\text{............................................................................................................................}
\text{............................................................................................................................} [2]
(b) triangle $A$ onto triangle $C$.
\textit{Answer(b)}
\text{............................................................................................................................}
\text{............................................................................................................................} [3]
The cumulative frequency curve shows the heights of 100 plants.
Find
(a) the median,
\text{Answer(a)} \text{...........................................................} \text{ cm} \ [1]\
(b) the inter-quartile range,
\text{Answer(b)} \text{...........................................................} \text{ cm} \ [2]\
(c) the number of plants that are more than 40 cm in height.
\text{Answer(c)} \text{...........................................................} \ [2]