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Write the missing numbers in the boxes. $$ \frac{1}{5} = \frac{\text{\underline{ }}}{10} = \frac{20}{\text{\underline{ }}} = \text{\underline{ }} \% $$
503
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527
Write down the coordinates of $P$.
( $\text{.....................} , \text{.....................} )$
599
506
502
The diagram shows a circle with centre $O$.
Draw a chord in this circle.
537
541
562
Complete the statement.
45 ml is ............... cm^3.
595
546
589
Complete the statement.
Rectangle $B$ is an enlargement of rectangle $A$ with scale factor .....................
591
513
525
In a sale, the price of a dress is reduced from $20 to $15.
Work out the percentage reduction.
...........................................% [2]
542
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534
A cuboid has a volume of $140 \, \text{cm}^3$.
The width of the cuboid is $7 \, \text{cm}$ and the height is $2 \, \text{cm}$.
Find the length of this cuboid.
.................................................. cm
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551
594
This table shows the ages of 20 cars.
[Table_1]
(a) Work out the range.
.............................. years [1]
(b) Work out the mean age of the cars.
.............................. years [3]
598
568
568
$-6 \le x < -3$
Write down all the integer values of $x$.
539
552
591
A circle has radius 8.5 cm.
Find the circumference of the circle. Leave your answer in terms of $\pi$. .................................................. cm [2]
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509
U = \{ x \mid x \text{ is an integer and } 1 \leq x \leq 10 \}
A = \{ x \mid x \text{ is a square number} \}
(a) List the elements of set A.\text{.....................} [1]
(b) Write down n(A').\text{.....................} [1]
525
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590
The scatter diagram shows the number of ice creams sold each day and the temperature on that day.
(a) What type of correlation is shown in the scatter diagram? .................................................. [1]
(b) Describe what the scatter diagram shows about the number of ice creams sold each day and the temperature on that day.
..........................................................................................................................
.......................................................................................................................... [1]
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571
589
A football club had the following results from their last 10 games.
[Table_1]
Outcome of Match | Win | Draw | Lose
Frequency | 2 | 5 | 3
Use this data to estimate the probability that they will not lose their next match.
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582
572
Expand.
$k^2(k-6)$ ................................................. [2]
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517
A car travels 20 km at an average speed of 30 km/h. It then travels 30 km at an average speed of 60 km/h.
Calculate the total number of minutes this 50 km journey takes.
..................... minutes [3]
516
512
595
Find the value of $a$.
$a = \text{...............................}$ [3]
503
539
587
Work out $(3 \times 10^4) \times (5 \times 10^6)$.
Write your answer in standard form.
588
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500
Describe fully the \textit{single} transformation that maps shape $E$ onto shape $F$.
............................................................................................................................
............................................................................................................................
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510
Write down the equation of the line with gradient 3 that passes through (0, -1).
509
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534
Find the value of $x$ when $5^3 \times 5^4 = 5^x$.
$x = \text{.....................}$ [1]
600
515
593
