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Write the number seven hundred thousand and fourteen in figures. ........................ [1]
Write 7.642 correct to the nearest integer. ..................................................... [1]
Change 3 kilograms into grams. ................................................................ g [1]
One pencil costs 30 cents.
Ahmet has $5.
Ahmet buys as many of these pencils as he can.
Work out the number of pencils Ahmet buys.
Use one of the symbols $<$, $=$ or $>$ to make the following statement correct.
0 + 3 \text{....................} 7 - 3
Hut X is due south of hut Y.
Write down the three-figure bearing of hut X from hut Y.
[Table_1: rectangle, square, rhombus, parallelogram, kite]
Complete each statement with a word from the list.
(a) A ........................................ has 4 lines of symmetry. [1]
(b) A ........................................ has no lines of symmetry. [1]
Write these numbers in order of size, starting with the smallest.
32% 0.4 \( \frac{3}{10} \) 0.22
..................... , ..................... , ..................... , .....................
smallest
Simplify.
$7a + 3 - 6a - 1$
P is the point (-5, -2) and Q is the point (8, -2).
Find the length of PQ.
A horse travels 10 km in 2 hours.
Work out the average speed of the horse in kilometres per hour.
........................... km/h [1]
A cube is taken at random from a box containing 3 red cubes and 2 blue cubes.
Find the probability of taking a red cube.
This is a train timetable.
[Table_1: Station | Train]
Station | 06 40 | 07 05 | 07 40 | 08 05 | 08 40 | 10 05
A
B | 07 16 | 08 16 | 08 51
C | 07 10 | 07 48 | 08 10 | 08 48 | 10 35
D | 07 19 | 07 57 | 08 57 | 09 27 | 10 44
E | 07 37 | 08 32 | 09 15 | 11 02
(a) Javid must arrive at station E no later than 11 00.
Write down the time of the latest train he can catch from station A.
.................................................. [1]
(b) Jacinta catches the 08 51 train from station B.
Work out how many minutes her journey takes from station B to station D.
.................................................. min [1]
Simplify $\frac{2}{3} \times \frac{a}{b}$.
$600 is invested at a rate of 1\% per year simple interest.
Work out the value of the investment at the end of one year.
$\text{.....................}$
A circle has a diameter of 6 cm.
Find the area of the circle.
Give your answer in terms of $\pi$.
$\text{........................ cm}^2$
(a) Write down the elements of set $B$.
(b) Write down $n(U)$. [1]
represents a Venn diagram with sets $A$ and $B$, and the universal set $U$.
The number of goals that a team scored in each of its 48 matches is recorded. The table shows this information.
[Table_1]
Number of goals scored | 0 | 1 | 2
Number of matches | 21 | 16 | 11
Find the relative frequency of scoring 1 goal. Give your answer as a fraction in its simplest form.
f(x) = 4(x - 3)
Find the value of x when f(x) = 48.
x = ...............................................................
Find the lowest common multiple (LCM) of 18 and 24.
Solve the simultaneous equations.
$$3g - h = 13$$
$$9g - 5h = 35$$
\(g = \text{...................................................}\)
\(h = \text{..............................................}\)
Triangles $ABC$ and $ADE$ are similar. $AB = 8$ cm, $BD = 4$ cm and $DE = 9$ cm.
(a) Find the scale factor of the enlargement of triangle $ADE$ from triangle $ABC$. ..................................................... [1]
(b) Work out the length of $BC$. ..................................................... cm [2]
The heights of 100 sunflower plants are measured.
The results are shown on the cumulative frequency curve.
(a) Find how many sunflower plants have a height less than 35 cm. ............................................ [1]
(b) Use the curve to find the interquartile range. ........................................... cm [2]