12 marks
Expand p(p − 6)
Show answer
p2 - 6p
Weekly check: Grade 3
20 mixed questions from 20 grade 3 topics, 50 marks.
Type your answers below for an instant mark and a score, or print the sheet, mark it with the answers sheet, and use the solutions to see every step written out by hand. Set one a week and watch the score climb.
The questions
22 marks
Here are the midnight temperatures, in °C, on five nights.
−5 2 −3 4 −3
Work out the mean temperature.
Show answer
-1
32 marks
A fair eight-sided spinner has sections numbered 1 to 8.
The spinner is spun once.
- Write down the word that best describes the probability that the spinner lands on 9.
- Find the probability that the spinner lands on a multiple of 3.
Show answer
a) impossible b) 1/4
42 marks
Write < or > in each box to make each statement true.
- 0.34 □ 0.4
- 2.5 □ 2.45
Show answer
a) < b) >
53 marks
The scatter graph shows the number of hours ten students revised and their scores in a test.
- Draw a line of best fit on the scatter graph.
- Use your line of best fit to estimate the test score of a student who revised for 6.5 hours.
Show answer
a) A straight line close to the points, with about as many points above as below, e.g. from (0, 15) to (10, 85) b) About 60 (accept 56 to 64 if it matches their line)
62 marks
- (−2) × (−3) × (−4)
- −48 ÷ 6 ÷ (−2)
Show answer
a) -24 b) 4
73 marks
PQRS is a parallelogram.
Angle P = (3x + 15)° and angle Q = (2x − 10)°. Angles P and Q are next to each other on the same side of the parallelogram.
Work out the value of x. Give a reason for each stage of your working.
Show answer
x = 35
82 marks
Solve 5x − 7 = 23
Show answer
x = 6
92 marks
- Simplify 4 × 3h
- Simplify 9a + 2b − 3a + b
Show answer
a) 12h b) 6a + 3b (accept 3b + 6a)
104 marks
An isosceles trapezium has parallel sides of 4 cm and 16 cm.
Its two sloping sides are each 10 cm long.
Its area is 80 cm².
- Work out the perpendicular height of the trapezium.
- Work out the perimeter of the trapezium.
Show answer
a) 8 cm b) 40 cm
113 marks
In triangle ABC, the point D lies on the side BC, so that BDC is a straight line. Angle ADB = 112° and angle DAC = 30°.
- Work out the size of angle ADC. Give a reason for your answer.
- Work out the size of angle ACD. Give a reason for your answer.
Show answer
a) 68, angles on a straight line add up to 180 degrees b) 82, angles in a triangle add up to 180 degrees
124 marks
- Work out an estimate for the value of 9.72 × 5.30.48
- Given that 1.84 = 10.4976, write down the value of 184
- Write down the value of 5−2
Show answer
a) 100 b) 104,976 c) 1/25
132 marks
Potatoes cost £1.20 per kilogram.
Work out the cost of 3.5 kg of potatoes.
Show answer
£4.20
142 marks
A triangle has vertices at (1, 2), (3, 2) and (3, 5).
The triangle is reflected in the line x = 4.
Write down the coordinates of the vertices of the image.
Show answer
(7, 2), (5, 2), (5, 5)
153 marks
A swimming pool is a cuboid 10 m long, 5 m wide and 1.5 m deep.
The empty pool is filled with water at a rate of 2.5 m3 every minute.
Work out how many minutes it takes to fill the pool completely.
Show answer
30 minutes
162 marks
- Write 0.0865 correct to 2 decimal places.
- Write 9.996 correct to 2 decimal places.
Show answer
a) 0.09 b) 10.00
172 marks
A model car is made using a scale of 1 : 18.
The real car is 4.5 m long.
Work out the length of the model car. Give your answer in centimetres.
Show answer
25 cm
183 marks
- One of these fractions is not equivalent to 35
610 915 1225 1525
Write down this fraction.
- Work out 25 + 13
Show answer
a) 12/25 b) 11/15
192 marks
T = 4x + 3y
Work out the value of T when x = 5 and y = 2.
Show answer
26
203 marks
A rope is 14.4 m long.
It is cut into pieces that are each 0.8 m long.
How many pieces are there?
Show answer
18
Your score
Answer the questions above and your score appears here.
Every question here is original and written by Robinson Tuition, drawn from the grade 3 topic worksheets. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.