No questions found
(a) Write the fraction $\frac{15}{40}$ in its lowest terms.
..................................................... [1]
(b) Work out.
$$\frac{2}{3} + \frac{2}{9}$$
..................................................... [2]
538
510
534
Solve the equation.
$x - 11 = -4$
$x = \text{.............................}$ [1]
525
569
558
Change 600 \text{ cm}^3 into \text{ m}^3. \text{ ..................... m}^3 [1]
506
505
531
\( AB \) is parallel to \( CD \).
Find angle \( ACD \).
Angle \( ACD \) = \text{...................................................} [1]
575
555
555
Kendra jogs 7 km in 45 minutes.
She then runs at 12 km/h for 30 minutes.
Find her average speed in km/h for the whole journey.
.................................................. km/h
573
502
559
The mean of eight numbers is 25.
When two extra numbers are included the mean of the ten numbers is 24.
Find the mean of the two extra numbers.
515
536
512
Solve the simultaneous equations.
$$5x + 2y = -12$$
$$3x - y = -5$$
x = ext{..........................}
y = ext{..........................} [3]
532
536
543
A is the point (-1, 13) and B is the point (3, 1).
Find the equation of the line AB, giving your answer in the form $y = mx + c$.
$y =$ ..................................................
539
545
549
Solve.
\(6x^2 - 5x - 6 = 0\)
\(x = \text{........................} \text{ or } x = \text{........................} \) [3]
517
590
595
The lengths of the sides of a triangle are 3 cm, 4 cm and 5 cm.
Find the sine of the smallest angle.
573
514
567
John goes to a shop that sells newspapers and magazines only.
(a) Complete the table of probabilities of John buying something at the shop.
[Table_1]
| | Buys a newspaper | Does not buy a newspaper | Total |
|------------------------------|------------------|--------------------------|-------|
| Buys a magazine | | | 0.40 |
| Does not buy a magazine | | 0.25 | |
| Total | 0.55 | | 1.00 |
[2]
(b) Find the probability that John buys a magazine but not a newspaper.
[1]
551
538
504
f(x) = |2x + 3|
Find the values of x when f(x) = 15.
522
564
523
A bag has 5 black counters, 4 white counters and 1 red counter. One counter is chosen at random and is replaced. A second counter is then chosen at random.
Find the probability that the two counters chosen are different colours.
557
537
573
Solve.
$\log x = 1 + \log 9 - \log 8 + 2 \log \frac{2}{3}$
x = .............................................
547
543
588
(a) Expand the brackets and simplify.
$$(\sqrt{a} + \sqrt{b})(\sqrt{a} - \sqrt{b})$$
................................................... [2]
(b) Rationalise the denominator.
$$\frac{1}{\sqrt{7} + \sqrt{6}}$$
................................................... [1]
(c) Work out the value of
$$\frac{1}{\sqrt{9} + \sqrt{8}} + \frac{1}{\sqrt{8} + \sqrt{7}} + \frac{1}{\sqrt{7} + \sqrt{6}} + \frac{1}{\sqrt{6} + \sqrt{5}} + \frac{1}{\sqrt{5} + \sqrt{4}}.$$
................................................... [2]
580
568
562
