Robinson Tuition20 mixed questions from 20 Year 7 topics, 50 marks. It covers the whole of Year 7.
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Write down whether each of these is an expression, an equation or a formula.
no equals sign = expression
equals sign, solve for one value = equation
a rule linking quantities = formula
a) expression
b) equation
c) formula
d) expression
At the school tuck shop, Callum buys 6 cereal bars at 74p each and 3 drinks at £1.15 each.
He pays with a £10 note.
How much change should he get?
6 × 74 = 444p = £4.44
3 × 1.15 = £3.45
4.44 + 3.45 = 7.89
10.00 - 7.89 = 2.11
£2.11
Work out 15% of £60
| 10% of £60 | = | £6 |
| 5% of £60 | = | £3 |
| 15% of £60 | = | 6 + 3 |
| 15% of £60 | = | £9 |
£9
Write <, > or = in each box to make each statement true.
a) -7 is further below zero
-7 < -3
b) -2.50 is further below zero than -2.05
-2.5 < -2.05
c)
4 - 9 = -5
4 - 9 = -5
Here are four numbers.
6 11 9 14
Work out the mean of these numbers.
| Total | = | 6 + 11 + 9 + 14 |
| Total | = | 40 |
| Mean | = | 40 ÷ 4 |
| Mean | = | 10 |
10
In a gym class, the ratio of the number of men to the number of women is 4 : 5.
There are 20 men in the class.
Work out the total number of people in the class.
men : women = 4 : 5
| 4 parts | = | 20 |
| 1 part | = | 20 ÷ 4 |
| 1 part | = | 5 |
| Women | = | 5 × 5 |
| Women | = | 25 |
| Total | = | 20 + 25 |
| Total | = | 45 |
45
Work out 32 + 4 × (7 − 2)
32 + 4 × (7 - 2)
Brackets
| = | 32 + 4 × 5 | |
| Indices | ||
| = | 9 + 4 × 5 | |
| Multiplication | ||
| = | 9 + 20 | |
| Addition | ||
| = | 29 |
29
ABC is a straight line. The point D lies above the line.
Triangle BCD is isosceles with BD = CD.
Angle DBA = 134°.
Work out the size of angle BDC. Give a reason for each stage of your working.
Angles on a straight line add to 180°
| DBC | = | 180 - 134 |
| DBC | = | 46° |
| Isosceles: base angles are equal | ||
| DCB | = | 46° |
| Angles in a triangle add to 180° | ||
| BDC | = | 180 - 46 - 46 |
| BDC | = | 88° |
88°
A dice is a cube with edges of length 2.5 cm.
Work out the volume of the dice.
| Volume | = | 2.5 × 2.5 × 2.5 |
| = | 6.25 × 2.5 | |
| = | 15.625 |
15.625 cm³
A triangle has base 12 cm and perpendicular height 5 cm.
Work out the area of the triangle.
| A | = | 12 × b × h |
| A | = | 12 × 12 × 5 |
| A | = | 6 × 5 |
| A | = | 30 |
30 cm2
The time series graph shows the number of ice creams a kiosk sold each month from January to June.
a)
Read up from April: 260
260
b)
Increase between each pair of months
| Jan to Feb: 150 - 120 | = | 30 |
| Feb to Mar: 210 - 150 | = | 60 |
| Mar to Apr: 260 - 210 | = | 50 |
| Apr to May: 330 - 260 | = | 70 |
| May to Jun: 390 - 330 | = | 60 |
Biggest: 70 (steepest line)
April and May
List all the prime numbers between 20 and 35.
Even numbers are not prime
Odd: 21, 23, 25, 27, 29, 31, 33
| 21 | = | 3 × 7 |
| 25 | = | 5 × 5 |
| 27 | = | 3 × 9 |
| 33 | = | 3 × 11 |
23, 29, 31 have no other factors
23, 29, 31
The diagram shows the net of a 3D solid. It is made from three rectangles and two equilateral triangles.
a)
2 triangle ends, rectangles round the side
Triangular prism
b)
3 edges on each end: 3 + 3 = 6
3 edges along the length
6 + 3 = 9
9 edges
c)
Faces = shapes in the net
3 + 2 = 5
No, it has 5 faces
a)
| c - 8 | = | 11 | ||
| +8 | c | = | 19 | +8 |
c = 19
b)
| 6d | = | 54 | ||
| ÷6 | d | = | 9 | ÷6 |
d = 9
c)
| e ÷ 4 | = | 7 | ||
| ×4 | e | = | 28 | ×4 |
e = 28
Write down the type of correlation you would expect to see in a scatter graph of each of the following.
a)
Hotter day → more ice creams sold
Both go up together
Positive correlation
b)
Older car → lower value
One goes up, the other goes down
Negative correlation
Work out 425 − 134
Give your answer as a mixed number in its simplest form.
Improper fractions
| 425 | = | 225 |
| 134 | = | 74 |
| Common denominator 20 | ||
| 225 | = | 8820 |
| 74 | = | 3520 |
| 8820 - 3520 | = | 5320 |
53 ÷ 20 = 2 remainder 13
| 5320 | = | 21320 |
21320
Simplify 6x + 3y − 2x + 5y
Collect x terms
| 6x - 2x | = | 4x |
| Collect y terms | ||
| 3y + 5y | = | 8y |
4x + 8y
Use a written method to work out 300.4 − 86.75
write 300.4 as 300.40
exchange across the zeros
300.40 - 86.75 = 213.65
check: 213.65 + 86.75 = 300.40
213.65
Fill in the missing numbers in each sequence.
a) rule: + 5
9 + 5 = 14
19 + 5 = 24
14 and 24
b) rule: - 7
50 - 7 = 43
29 - 7 = 22
43 and 22
c) rule: × 2
12 × 2 = 24
check: 24 × 2 = 48
24
Complete the table. Write each fraction in its simplest form.
| Fraction | Decimal | Percentage | |
|---|---|---|---|
| a | 14 | ||
| b | 0.6 | ||
| c | 12% | ||
| d | 120 |
a) make the bottom 100
| 14 | = | 25100 |
0.25 and 25%
b)
| 0.6 | = | 610 |
| = | 35 | |
| 0.6 × 100 | = | 60 |
35 and 60%
c) per cent means out of 100
| 12% | = | 12100 |
| = | 325 |
325 and 0.12
d) top and bottom × 5
| 120 | = | 5100 |
0.05 and 5%
Answer the questions above and your score appears here.
Every question here is original and written by Robinson Tuition, drawn from the Year 7 topic worksheets. It follows the Key Stage 3 programme of study.