In this assessment, you'll review your understanding of topics covered in Year 10.
It may take approximately 45 minutes to complete. This is a timed activity, but don't worry if it takes you longer to complete.
In this assessment, students will review their comprehension of topics covered in Year 10. May take approximately 45 minutes to complete.
Key stage: KS 4
Curriculum topic: Assessment
Curriculum subtopic: Starter Assessment
Difficulty level:
In this assessment, you'll review your understanding of topics covered in Year 10.
It may take approximately 45 minutes to complete. This is a timed activity, but don't worry if it takes you longer to complete.
Round the following number to 1 significant figure.
275
Select the answer which is equal to:
16^{½}
Select the answer which is equal to:
5^{1}
Multiply together
4 x 10^{6} x 6 x 10^{4}
(The answer must be in standard form.)
Divide
4 x 10^{6} ÷ 2 x 10^{4}
(The answer must be in standard form.)
Jack invests £200 at 2% interest p.a.
How much interest is earned after one year?
(Write your answer in £s without the £ sign.)
A bar of chocolate is bought for £1.20 and sold for £1.44.
Calculate the percentage profit.
(Just write the number as a whole number or to 3 sig. figs. if not whole.)
You may use a calculator for this question.
Use a percentage multiplier to calculate the original price.
A child's car seat costs £68.25 after 5% VAT has been added. What was its price before VAT?
You may use a calculator for this question.
A piece of chromium has a mass of 50g and a volume of 6.95 cm^{3}.
Find the density of chromium in g/cm^{3}.
(Just write the number to 3 sig. figs.)
A car travels the 36 miles from Liverpool to Manchester in ¾ hour.
Find the average speed in mph.
(Just write the number.)
Simplify
3(4a  2) + (2a + 5)
(Write your answer without spaces.)
Multiply out the brackets:
(3a + 2) (12a + 5)
Factorise the following quadratic expression in pairs and then fully.
3a^{2} + 18a + 2a + 12
Factorise the following quadratic expression.
x^{2} + 6x  16
You may use a calculator for this question.
Use the quadratic formula to solve for x, giving your answers to 3 sig. figs.
x^{2} + 7x + 9 = 0
Solve simultaneously:
3x + 7y = 0
x  y = 10
Find the gradient of the straight line which passes through:
(1, 5) and (5, 9)
(If it is not a whole number, write it as a fraction in the form a/b.)
State the gradient of the line with equation:
y  3  =  x 
2 
Which of the given equations represents the red line shown below?
Solve the following equation for a:
3a  +  2a  =  12 
2  4 
(Just write the value of a.)
Simplify the following and select the correct answer:
a + 2    a + 5 
10  15 
Answers
1.  3  2.  a  4  3.  2a + 7  
15  30  25 
Find three consecutive numbers whose sum is 33.
Using x for the smallest number, select the equation which fits the given information.
Find the value of x from the information given in this diagram.
(not drawn to scale)
Find the number of sides in a polygon whose interior angle sum is 540º.
Select all the Pythagorean Triads from the list below.
(Remember to look out for multiples too!)
In the following diagram, work out the bearing of B from A .


x = 40° 

Just write the number in the text box below.
You may use a calculator for this question.
Find the circumference of a circle with radius 5 cm.
Just write the number in the box below. Don't forget to round to 3 sig. figs.
You may use a calculator for this question.
Calculate the arc length of the given shape to 3 sig. figs.
Remember, arc length =  2 × r × ×  for radius r, angle at centre = 
360 
R = 24 cm
Θ = 11.5 °
Arc length = ____ cm
Triangle ABC has a right angle at B.
AB = 10 cm
∠ACB = 22.5º
After sketching the triangle, use trigonometry to calculate the length of the side BC.
(Give your answer to 3 sig. figs. and just write the number.)
The diagram shows the side of a shed against a vertical wall.
Find the width of the side of the shed in metres to 3 sig. figs.
(Just write the number.)
In the diagram,
A is at (4,8); B is at (3,4); C is at (8,2); D is at (8,6)
State the vector which maps B to A.
Answers
1.  (  1  )  2.  (  5  )  3.  (  4  )  
4  2  6 
Select the correct answer to:
(  4  )  +  (  2  ) 
5  5 
Answers
1.  (  6  )  2.  (  4  )  3.  (  2  )  
10  10  10 
A bag contains 4 red counters, 5 blue counters and 6 yellow counters.
One counter is selected at random.
What is the probability that it is yellow or blue?
(Write your answer as a fraction in its lowest terms in the form a/b.)
A box of chocolates contains 5 dark chocolates, 2 white chocolates and 3 toffees.
One item is selected at random and then replaced. A second item is then selected.
What is the probability that a dark chocolate is chosen followed by a toffee?
(Write your answer as a fraction in its lowest terms in the form a/b.)
Six counters numbered 2, 4, 5, 7, 8, 9 are placed in a bag.
If one counter is drawn at random, what is the probability that it will be:
(a) a factor of 35
(b) even?
Column A  Column B 
Factor of 35  1/3 
Even  1/2 
Round the following number to 1 significant figure.
275
Select the answer which is equal to:
16^{½}
Select the answer which is equal to:
5^{1}
Multiply together
4 x 10^{6} x 6 x 10^{4}
(The answer must be in standard form.)
Divide
4 x 10^{6} ÷ 2 x 10^{4}
(The answer must be in standard form.)
Jack invests £200 at 2% interest p.a.
How much interest is earned after one year?
(Write your answer in £s without the £ sign.)
A bar of chocolate is bought for £1.20 and sold for £1.44.
Calculate the percentage profit.
(Just write the number as a whole number or to 3 sig. figs. if not whole.)
You may use a calculator for this question.
Use a percentage multiplier to calculate the original price.
A child's car seat costs £68.25 after 5% VAT has been added. What was its price before VAT?
You may use a calculator for this question.
A piece of chromium has a mass of 50g and a volume of 6.95 cm^{3}.
Find the density of chromium in g/cm^{3}.
(Just write the number to 3 sig. figs.)
A car travels the 36 miles from Liverpool to Manchester in ¾ hour.
Find the average speed in mph.
(Just write the number.)
Simplify
3(4a  2) + (2a + 5)
(Write your answer without spaces.)
Multiply out the brackets:
(3a + 2) (12a + 5)
Factorise the following quadratic expression in pairs and then fully.
3a^{2} + 18a + 2a + 12
Factorise the following quadratic expression.
x^{2} + 6x  16
You may use a calculator for this question.
Use the quadratic formula to solve for x, giving your answers to 3 sig. figs.
x^{2} + 7x + 9 = 0
Solve simultaneously:
3x + 7y = 0
x  y = 10
Find the gradient of the straight line which passes through:
(1, 5) and (5, 9)
(If it is not a whole number, write it as a fraction in the form a/b.)
State the gradient of the line with equation:
y  3  =  x 
2 
Which of the given equations represents the red line shown below?
Solve the following equation for a:
3a  +  2a  =  12 
2  4 
(Just write the value of a.)
l.c.m. is 4.
4 x 3a  +  4 x 2a  =  4 x 12 
2  4 
Then simplify
2 x 3a + 2a = 48
Simplify the following and select the correct answer:
a + 2    a + 5 
10  15 
Answers
1.  3  2.  a  4  3.  2a + 7  
15  30  25 
Find three consecutive numbers whose sum is 33.
Using x for the smallest number, select the equation which fits the given information.
Find the value of x from the information given in this diagram.
(not drawn to scale)
Find the number of sides in a polygon whose interior angle sum is 540º.
Select all the Pythagorean Triads from the list below.
(Remember to look out for multiples too!)
In the following diagram, work out the bearing of B from A .


x = 40° 

Just write the number in the text box below.
You may use a calculator for this question.
Find the circumference of a circle with radius 5 cm.
Just write the number in the box below. Don't forget to round to 3 sig. figs.
You may use a calculator for this question.
Calculate the arc length of the given shape to 3 sig. figs.
Remember, arc length =  2 × r × ×  for radius r, angle at centre = 
360 
R = 24 cm
Θ = 11.5 °
Arc length = ____ cm
2 × 24 × × 11.5 
360 
Triangle ABC has a right angle at B.
AB = 10 cm
∠ACB = 22.5º
After sketching the triangle, use trigonometry to calculate the length of the side BC.
(Give your answer to 3 sig. figs. and just write the number.)
The diagram shows the side of a shed against a vertical wall.
Find the width of the side of the shed in metres to 3 sig. figs.
(Just write the number.)
In the diagram,
A is at (4,8); B is at (3,4); C is at (8,2); D is at (8,6)
State the vector which maps B to A.
Answers
1.  (  1  )  2.  (  5  )  3.  (  4  )  
4  2  6 
Select the correct answer to:
(  4  )  +  (  2  ) 
5  5 
Answers
1.  (  6  )  2.  (  4  )  3.  (  2  )  
10  10  10 
A bag contains 4 red counters, 5 blue counters and 6 yellow counters.
One counter is selected at random.
What is the probability that it is yellow or blue?
(Write your answer as a fraction in its lowest terms in the form a/b.)
A box of chocolates contains 5 dark chocolates, 2 white chocolates and 3 toffees.
One item is selected at random and then replaced. A second item is then selected.
What is the probability that a dark chocolate is chosen followed by a toffee?
(Write your answer as a fraction in its lowest terms in the form a/b.)
Six counters numbered 2, 4, 5, 7, 8, 9 are placed in a bag.
If one counter is drawn at random, what is the probability that it will be:
(a) a factor of 35
(b) even?
Column A  Column B 
Factor of 35  1/3 
Even  1/2 
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