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Work out.
$5 \times 20 \div 4$
\textit{Answer} \text{..........................}
532
503
522
(a)
Shape $A$ is drawn on a 1 cm square grid.
Find the \textit{perimeter} of shape $A$.
\hspace{3em} \text{Answer(a)} \hspace{10em} \text{cm} \hspace{10em} [1]
(b) On the grid below, draw a different shape which has the same \textit{area} as shape $A$.
[2]
582
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575
(a) Write down the value of $(-2)^3$.
Answer(a) .................................................. [1]
(b) Simplify.
$$\frac{-2 - (-8)}{2 + 8}$$
Give your answer as a fraction in its lowest terms.
Answer(b) .................................................. [2]
551
580
556
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? [1]
Answer(a) .................................................
(b) Which one of A, B, C or D is continuous data? [1]
Answer(b) .................................................
599
547
597
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]
522
550
504
From this list write down the irrational number.
5 \quad \sqrt{7} \quad \frac{2}{9} \quad \sqrt{9} \quad 7
Answer \text{.................................}
506
595
572
The diagram shows the graph of $y = f(x)$.
Write down the equations of the two asymptotes of the graph.
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553
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) $\$ \text{................................................}$ [2]
(b) other items.
Answer (b) $\$ \text{................................................}$ [2]
557
536
501
The diagram shows the graph of $y = x^2 - 4x + 8$ for $0 \le x \le 4$.
Write down the equation of the line of symmetry of this graph.
Answer ...........................................................
594
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598
(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]
597
525
537
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?
Answer(b) ............................................................... [1]
(c) The mean age is 4 years. The mean value is $3600.
Draw the line of best fit on your diagram. [2]
536
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563
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 ............................................................ m³
562
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568
A rectangle has sides 6 cm and 8 cm.
[Image_1: Diagram of a rectangle labeled '6 cm' and '8 cm']
Work out the length of a diagonal of this rectangle.
Answer ....................................... cm
557
544
563
