No questions found
From this list, write down a prime number: 25, 26, 27, 28, 29, 30.
522
586
504
$84$ is divided in the ratio $3 : 4$.
Find the value of the largest share.
\$.................................... [2]
566
581
530
In a sale, the price of all furniture is reduced by 30%.
(a) Before the sale the price of a chair was $40.
Find the price of this chair in the sale.
$\text{...........................................}$ [2]
(b) In the sale, the price of a table is $140.
Find the price of this table \textbf{before} the sale.
$\text{...........................................}$ [3]
500
578
509
Work out the following, giving each answer in standard form.
(a) \((6.4 \times 10^{-2}) - (1.6 \times 10^{-3})\) ............................................................... [2]
(b) \((6.4 \times 10^{-2}) \div (1.6 \times 10^{-3})\) ............................................................... [2]
560
512
586
One day there were 720 students at a school.
The table shows the type of transport the students used to get to school.
[Table_1]
Type of transport | Walk | Bus | Car | Bicycle
Number of students | 117 | 280 | 240 | $x$
(a) Find the value of $x$.
$x = \text{.................................................................}$ [1]
(b) Find the relative frequency of students who went to school by car.
Give your answer as a fraction in its lowest terms.
................................................................. [2]
507
505
579
A bag contains 10 discs.
5 discs are red, 4 are blue and 1 is green.
A disc is chosen at random and not replaced.
A second disc is then chosen at random.
Find the probability that
(a) both discs are green, .................................................. [1]
(b) both discs are the same colour......................................... [3]
525
530
571
Expand the brackets and simplify.
(a) $3x(4 - 5x) - 5x(3x + 2)$ ................................. [2]
(b) $(4x - y)(3x + 2y)$ ............................................ [3]
573
535
587
Find the highest common factor (HCF) of $8x^3y^4$ and $12x^4y$.
539
554
599
In each of the following, rationalise the denominator and simplify your answer.
(a) \( \frac{6}{\sqrt{3}} \) .............................................................. [2]
(b) \( \frac{\sqrt{3}}{2 + \sqrt{3}} \) ......................................................... [2]
532
525
503
The points $A (3, 8)$ and $B (9, 0)$ are shown on the diagram below.
Find the equation of the perpendicular bisector of the line $AB$.
504
593
505
y is proportional to the square of x.
When x = 4, y = 8.
(a) Find an equation connecting y and x. [2]
(b) Find the values of x when y = 32. [2]
555
522
586
