No questions found
Work out.
$5 \times 20 \div 4$
Answer ...........................
557
548
504
(a) Shape $A$ is drawn on a 1cm square grid. Find the \textbf{perimeter} of shape $A$.
Answer(a) \text{............................................. cm} \; [1]
(b) On the grid below, draw a different shape which has the same \textbf{area} as shape $A$.
[2]
547
593
554
(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]
599
564
599
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]
597
535
556
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]
550
559
517
From this list write down the irrational number.
5 \quad \sqrt{7} \quad \frac{2}{9} \quad \sqrt{9} \quad 7
Answer ..............................
508
527
511
The diagram shows the graph of $y = f(x)$.
[Image_1: Graph of $y = f(x)$]
Write down the equations of the two asymptotes of the graph.
\textbf{Answer} ..........................................................
545
533
505
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{..............................................................} \quad [2]
(b) other items.
Answer (b) $ \text{............................................................} \quad [2]
591
513
541
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.
505
513
507
(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.
$6ab - 8c^2$
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]
545
545
505
Data has been collected about the age (years) and the value (to the nearest $100) of the cars owned by a class of University students.
| Age (years) | 1 | 2 | 2 | 3 | 4 | 4 | 5 | 7 | 8 |
|------------|---|---|---|---|---|---|---|---|---|
| Value ($) | 8000 | 6400 | 5200 | 4000 | 3000 | 2100 | 1700 | 1200 | 800 |
(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]
513
555
586
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.
551
599
522
A rectangle has sides 6 cm and 8 cm. [Image_1: Diagram of rectangle with sides labeled 6 cm and 8 cm]
Work out the length of a diagonal of this rectangle.
564
566
538
