No questions found
(a) Draw the line of symmetry on the diagram.
[1]
(b) Shade four small squares so that the diagram has rotational symmetry of order 4.
[1]
570
588
524
Write these in order of size starting with the smallest.
0.329 \(\frac{9}{27}\) 30% \(\frac{3}{8}\)
.................... , .................... , .................... , .................... [2]
smallest
561
531
525
By writing each number correct to 1 significant figure, work out an estimate for
$$\frac{6.98 \times 5.86}{29.7 - 8.85}$$
535
534
550
(a) Write 67200000 in standard form.
................................................................. [1]
(b) Work out $(3 \times 10^4) \times 100$.
Give your answer in standard form.
................................................................. [2]
544
536
562
A regular polygon has 8 sides.
(a) Write down the mathematical name of this polygon. ....................................... [1]
(b) Find the size of one exterior angle of the polygon. ....................................... [2]
500
594
522
f(x) = x^2 + bx + c
The solutions to f(x) = 0 are x = -2 and x = 5.
Find the value of b and the value of c.
b = ...................................
c = ................................... [2]
531
550
585
A, B, C, D and E are points on the circle centre O.
AD is a diameter and EC is a straight line.
Find angle EOD.
Angle EOD = ............................................. [2]
500
525
546
Rearrange the formula to make $d$ the subject.
$3d - 2e = 1 + ed$
$d = \text{...............................}$
597
504
518
A bag contains blue pens and green pens.
Zoe takes a pen from the bag at random, records the colour and replaces the pen.
She then takes a second pen from the bag at random.
The probabilities are shown in the tree diagram.
(a) There are 40 pens in the bag.
Find the number of blue pens.
...................................................... [1]
(b) Find the probability that Zoe takes a blue pen and then a green pen.
...................................................... [2]
(c) Find the probability that Zoe takes at least one blue pen.
...................................................... [2]
509
545
545
Simplify fully.
(a) $(2\sqrt{2})^4$ ..................................... [2]
(b) $(2a^3b)^5$ ....................................... [2]
522
600
564
(a) $\log x = 4$
Write down the value of $x$.
$x =$ ............................................... [1]
(b) Find the value of $y$ when $\log y = 3 \log 2 + \log 3$.
$y =$ ............................................... [2]
588
512
570
Solve the equation: $$\frac{1}{x-1} - \frac{x}{2x+4} = \frac{1}{2}$$
Show that $$x^2 - x - 3 = 0$$.
505
591
566
