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Work out.
$5 \times 20 \div 4$
\text{Answer} \text{...............................................................} [1]
(a)
Shape $A$ is drawn on a 1cm square grid.
Find the \textbf{perimeter} of shape $A$.
\textit{Answer(a)} \text{.................................} \text{cm} [1]
(b) On the grid below, draw a different shape which has the same \textbf{area} as shape $A$.
[2]
(a) Write down the value of $(-2)^3$.
Answer(a) \text{.............................} [1]
(b) Simplify. $$\frac{-2 - (-8)}{2 + 8}$$
Give your answer as a fraction in its lowest terms.
Answer(b) \text{.............................} [2]
A farmer picks a bunch of grapes. He writes down
A the colour of the grapes
B the number of grapes
C the weight of the grapes
D which plant the grapes were picked from.
(a) Which one of A, B, C or D is discrete data?
Answer(a) ............................................................... [1]
(b) Which one of A, B, C or D is continuous data?
Answer(b) ............................................................... [1]
Niki began a race at 1005.
She finished the race at 1605.
(a) How many hours did Niki take to complete the race?
Answer(a) ......................................................... h [1]
(b) The distance of the race was 42 km.
Work out Niki's average speed.
Answer(b) ......................................................... km/h [1]
From this list write down the irrational number.
$5$ \[ \sqrt{7} \] $\frac{2}{9}$ \[ \sqrt{9} \] $7$
Answer \text{...............................................}
The diagram shows the graph of $y = f(x)$.
Write down the equations of the two asymptotes of the graph.
Answer ............................................................
............................................................ [2]
The total cost of a holiday was $720.
The pie chart shows how this money was spent.
Find the amount of money spent on
(a) food,
Answer (a) $ .................................................... [2]
(b) other items.
Answer (b) $ ............................................. [2]
The diagram shows the graph of $y = x^{2} - 4x + 8$ for $0 \leq x \leq 4$.
Write down the equation of the line of symmetry of this graph.
Draw the tangents from $P$ to the circle.
(a) Simplify.
(i) \( 3x - 5 + 2x - 12 \)
Answer(a)(i) ........................................................ [2]
(ii) \( 4 \times d \times 2 \times d \)
Answer(a)(ii) ........................................................ [1]
(iii) \( \frac{x}{3} - \frac{x}{6} \)
Answer(a)(iii) ........................................................ [2]
(b) Factorise completely.
\( 6ab - 8a^2 \)
Answer(b) ........................................................ [2]
(c) Solve the following equation.
\( x + 8 = 15 \)
Answer(c) \( x = \) ........................................................ [1]
(d) Solve the inequality.
\( 6x < 4x + 11 \)
Answer(d) ........................................................ [2]
Data has been collected about the age (years) and the value (to the nearest $100) of the cars owned by a class of University students.
[Table_1]
(a) Complete the scatter diagram.
The first five points have been plotted for you. [2]
(b) What type of correlation is shown on the scatter diagram?
$\text{Answer(b)} \text{.............................}$ [1]
(c) The mean age is 4 years.
The mean value is $3600.
Draw the line of best fit on your diagram. [2]
The base of this pyramid is a square of side 5 m. It has perpendicular height 12 m.
Work out the volume of the pyramid.
Answer ..................... m^3
A rectangle has sides 6 cm and 8 cm.
Work out the length of a diagonal of this rectangle.