No questions found
Work out.
$$-7 \times -5$$ ................................................. [1]
596
524
566
Find the value of $x$.
$x = \text{.............................}$ [1]
536
589
575
A bag contains 8 blue balls, 3 red balls and 4 green balls only. One ball is chosen at random.
Find the probability that this ball is red.
Give your answer as a fraction in its simplest form.
548
523
530
Solve.
$$6x - 5 = 19$$
$$x = \text{..........................} \; [2]$$
595
519
501
Find the size of one exterior angle of a regular octagon.
508
542
520
The point $A$ has co-ordinates $(1, 9)$. The point $B$ has co-ordinates $(4, 5)$.
Find the length of $AB$.
547
536
535
List the integer values of \( x \) for which \( -4 \leq 2x < 6 \).
584
569
528
Simplify.
$\sqrt{32} - \sqrt{72} + \sqrt{50}$ ....................................................... [2]
522
598
587
Find the next term and an expression for the $n$th term of the following sequence.
$-9, \ -3, \ 7, \ 21, \ 39, \ \ldots$
next term $=$ ...................................
$n$th term $=$ ................................... [3]
564
574
594
The bearing of point $B$ from point $A$ is $234^{\circ}$.
Work out the bearing of point $A$ from point $B$.
549
542
577
Solve the simultaneous equations.
$$3x + 2y = 4$$
$$2x - 3y = 7$$
x = \text{..........................}
y = \text{..........................}
556
574
576
A bag contains 4 red balls and 5 blue balls only. Two balls are chosen at random without replacement.
Find the probability that the two balls chosen are different colours.
535
512
552
Rationalise the denominator, giving your answer in its simplest form.
$$\frac{5 + \sqrt{3}}{5 - \sqrt{3}}$$
540
550
526
The surface area of a sphere with radius $r$ is equal to the curved surface area of a cone with radius $r$ and height $h$.
Show that $h = r\sqrt{k}$, where $k$ is a constant.
518
540
562
