No questions found
Write 0.0301497
(a) correct to 3 decimal places ......................................................... [1]
(b) correct to 4 significant figures. ...................................................... [1]
543
510
587
Write down the number of lines of symmetry of a kite.
523
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523
(a) Solve $11 + 2x > 5$.
......................................................... [2]
(b) Show your solution to part (a) on this number line.
......................................................... [1]
511
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536
One day Hassan surveys the number of people in the cars passing his house.
The results for the first 100 cars are shown in the table.
[Table_1]
(a) Complete the table. [2]
(b) A total of 1200 cars pass Hassan’s house that day.
Calculate an estimate of the number of these cars with 5 people. [1]
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The angles of a triangle are in the ratio 2 : 3 : 7.
Find each angle.
508
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599
Given $p = 5 \times 10^7$.
Work out $p^3$.
Give your answer in standard form.
534
572
510
For this sequence
1\ \ \ 6\ \ \ 11\ \ \ 16\ \ \ 21\ \ \ \ldots
(a) find the next term ...................................................... [1]
(b) find an expression for the \textit{nth} term. ...................................................... [2]
536
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549
The two bottles are mathematically similar. The height of the large bottle is 30 cm. The height of the small bottle is 24 cm. The volume of the large bottle is 250 cm$^3$. Calculate the volume of the small bottle.
567
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A, B, C and D are points on the circle centre O.
PDQ is a tangent to the circle at D.
Angle BAD = 51^\circ and angle PDA = 64^\circ.
Find
(a) angle BCD
Angle BCD = ................................. [1]
(b) angle ABD
Angle ABD = ................................. [1]
(c) the obtuse angle BOD.
Angle BOD = ................................. [1]
521
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525
y is inversely proportional to $x^2$.
When $x = 2$, $y = 10$.
Find $y$ in terms of $x$.
$y = \text{..............................}$ [2]
554
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596
The area of the shaded segment is $(a\pi + b)\,\text{cm}^2$.
Find the value of $a$ and the value of $b$.
$$a = \text{.................................}$$
$$b = \text{.................................}$$
513
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542
Solve $2 \log x - 3 \log 2 + \log 5 = 3$.
\(x = \text{.........................................} \; [4]\)
557
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539
Write as a single fraction in its simplest form.
\( \frac{3}{x-1} - \frac{2}{2x+5} \)
587
556
535
