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Complete the table to show how 400 students travel to school.
[Table]
| | Year 10 | Year 11 | Total |
|----------|--------|--------|-------|
| Walk | 70 | | 85 |
| Bicycle | | 20 | 85 |
| Bus | 85 | 40 | |
| Car | | 25 | 105 |
| Total | 300 | | 400 |
580
587
541
The cost of printing leaflets can be found using this formula.
[Image_1: Cost of printing = price per leaflet × number of leaflets + fixed charge]
The price per leaflet is $0.30 and the fixed charge is $65.
Work out the cost of printing 1000 leaflets.
$ .........................................................
500
511
594
Write 0.07 as a percentage. ........................................... \% [1]
596
553
505
Change 1420 millilitres into litres. ............................. litres [1]
526
544
553
Malik records the number of students in each class at his school.
Put a ring around the word that describes this type of data.
continuous cumulative discrete random
559
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592
Work out the mode and the range of these numbers.
38 44 44 52 52 66 68
Mode ....................................................
Range .................................................. [2]
589
521
597
Points $A$ and $B$ are plotted on a 1 cm$^2$ grid.
Find the distance from $A$ to $B$. .......................................... cm [1]
516
572
543
The probability that Sylvia wins a competition is 0.38.
Find the probability that Sylvia does not win the competition.
548
569
570
Solve the equation.
$$2x - 1 = 7$$
$x$ = ................. [2]
590
517
565
Write $2 \times 2 \times 2 \times 2$ as a power of 2.
543
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581
The diagram shows the quadrilateral $ABCD$.
Find the value of $x$.
$x = \text{.................................}$ [2]
507
552
548
Simplify fully.
$$\frac{3a}{5} \times \frac{b}{2a}$$
584
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524
X = \{0, 1, 2, 3, 4, 5, 6\}
Y = \{\text{positive even numbers less than 8}\}
Complete the following statements using set notation.
Y ............... X
5 ............... Y
581
558
562
Solve the simultaneous equations.
$$\begin{align} 3p + 2q &= 29 \\ 5p - 2q &= 27 \end{align}$$
$$p = \text{.................................}$$
$$q = \text{.................................}$$
543
535
580
A group of students are asked whether they like athletics $(A)$ or basketball $(B)$. The Venn diagram shows the number of students in each subset.
$n(U) = 30$ $n(A) = 9$
(a) Find the value of $x$.
$x = \text{.........................................}$ [1]
(b) Find the value of $z$.
$z = \text{.........................................}$ [1]
588
558
575
Work out \( \frac{5 \times 10^7}{2 \times 10^3} \).
Give your answer in standard form.
503
537
566
A sculpture is made from two cylinders.
The height of each cylinder is 0.5 m.
The diameter of the larger cylinder is 4 m and the diameter of the smaller cylinder is 2 m.
Work out the volume of the sculpture.
Give your answer in terms of $\pi$.
537
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505
▲ is a fraction.
Work out the missing fraction.
$$2\frac{1}{4} \div \blacktriangle = 3$$
$$\blacktriangle = \text{.............................}$$
553
537
561
