No questions found
Work out.
$(0.6)^2$..................................................... [1]
541
596
543
(a) Write the fraction \( \frac{16}{60} \) in its lowest terms. ............................................. [1]
(b) Work out.
\( \frac{4}{11} + \frac{5}{11} \) ............................................. [1]
570
543
570
Expand.
$x(x^3 - 4x)$ ............................................................... [2]
543
569
578
Change 430 $cm^2$ into $m^2$.
............................... $m^2$
541
579
552
f(x) = x^3 - 2
Find the value of x when f(x) = 25.
x = .................................. [2]
512
598
506
Find the value of x.
x = \text{..............................} [3]
514
502
550
Solve the simultaneous equations.
$$4x + 3y = 0$$
$$2x - y = 5$$
$$x = \text{....................................}$$
$$y = \text{....................................}$$ [3]
524
517
532
Find $|p|$, giving your answer in the form $3\sqrt{a}$.
Where $p = \begin{pmatrix} 6 \\ 3 \end{pmatrix}$.
542
564
525
A is the point (3, 11) and B is the point (7, 3).
Find the equation of the line AB, giving your answer in the form $y = mx + c$.
$y =$ ext{.................................} [3]
547
588
536
Solve.
$$2x^2 - 5x - 7 = 0$$
$x = ext{.....................}$ or $x = ext{.....................}$ [3]
592
585
534
By rationalising the denominator, simplify \( \frac{12}{\sqrt{6} - 2} \).
543
577
522
A bag has 3 blue balls and 7 green balls only. One ball is chosen at random and not replaced. A second ball is then chosen at random.
Find the probability that both balls chosen are the same colour. Give your answer in its simplest form.
581
598
550
Expand the brackets and simplify.
$(4x - 3y)(2x - 5y)$
505
523
546
Simplify.
$2 \log 3 - 3 \log 2 + 2 \log \frac{2}{3}$
549
570
570
Write the list of numbers in order, starting with the smallest.
$$\sin 60^\circ \quad \cos 60^\circ \quad \tan 60^\circ \quad \sqrt{2}$$
.................... $<$ .................... $<$ .................... [2]
smallest
527
584
577
