20 mixed questions from 20 grade 6 topics, 50 marks.
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Here are the first four terms of a sequence.
3 6 12 24
Aisha invests £2500 in a savings account.
The account pays 4% compound interest each year.
Work out the amount in the account after 2 years.
Solve 3x(x − 2) = 5
Give your solutions correct to 3 significant figures.
A box contains 5 green pegs and 3 white pegs.
Two pegs are taken from the box at random, without replacement.
Work out the probability that both pegs are green.
The ages of the members of a youth orchestra are summarised below.
| Youngest | Lower quartile | Median | Upper quartile | Oldest |
|---|---|---|---|---|
| 11 | 13 | 15 | 18 | 24 |
Triangle M has vertices at (2, 1), (3, 1) and (2, 3).
Triangle M is enlarged by scale factor −3, centre (1, 0), to give triangle N.
Work out the coordinates of the vertices of triangle N.
A straight line passes through the points P (-3, 4) and Q (5, -8).
Work out the gradient of the line.
The table gives information about the times, in minutes, that 51 patients waited at a clinic.
| Shortest time | 15 |
|---|---|
| Lower quartile | 22 |
| Median | 38 |
| Upper quartile | 46 |
| Longest time | 63 |
Tom draws a box plot for this information. On his box plot:
Write down two things that are wrong with Tom's box plot.
The table shows the masses, m grams, of 40 tomatoes.
| Mass (m grams) | Frequency |
|---|---|
| 50 < m ≤ 60 | 5 |
| 60 < m ≤ 70 | 11 |
| 70 < m ≤ 80 | 14 |
| 80 < m ≤ 90 | 7 |
| 90 < m ≤ 100 | 3 |
Complete the cumulative frequency table.
| Mass (m grams) | Cumulative frequency |
|---|---|
| 50 < m ≤ 60 | |
| 50 < m ≤ 70 | |
| 50 < m ≤ 80 | |
| 50 < m ≤ 90 | |
| 50 < m ≤ 100 |
A straight line has equation 6x - 3y = 5
Find the equation of the straight line that is parallel to this line and passes through the point (1, 4).
y = 7.8 correct to 1 decimal place.
z = 4.1 correct to 1 decimal place.
A and B are points on a circle with centre O.
AB is not a diameter. M is the midpoint of the chord AB.
Prove that OM bisects angle AOB.
The distance d metres a dropped object falls is directly proportional to the square of the time t seconds.
When t = 3, d = 45.
Work out the value of d when t = 6.
Triangle ABC is isosceles with AB = AC = 5 cm and BC = 8 cm.
Triangle PQR is similar to triangle ABC with PQ = PR = 12 cm.
Work out the length of QR.
A velocity-time graph shows a cyclist who accelerates uniformly from rest to 12 m/s in 8 seconds, then travels at a constant 12 m/s for 10 seconds.
A conversion graph for gallons and litres is a straight line through the points (0, 0) and (10, 45). The horizontal axis shows gallons and the vertical axis shows litres.
Shape S is rotated 90° clockwise about (0, 0) and the image is then rotated 180° about (0, 0).
Describe fully the single transformation that maps S onto its final image.
A sector of a circle has radius 6 cm and area 15π cm².
Work out the angle of the sector.
Express 0.7̇ as a fraction.
Answer the questions above and your score appears here.
Every question here is original and written by Robinson Tuition, drawn from the grade 6 topic worksheets. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.