Q1.
Work out the value of (312 ÷ 35) ÷ (32 × 3)
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Answer _________________________________________
(Total 3 marks)
Q2.
Work out the arc length, in metres, of a semicircle of radius 6 metres.
Circle your answer.
3π 6π 12π 18π
(Total 1 mark)
Q3.
Here is some information about the test marks of 120 students.
Mark, m 0 < m ≤ 10 10 < m ≤ 20 20 < m ≤ 30 30 < m ≤ 40 40 < m ≤ 50
Frequency 20 28 40 20 12
(a) Complete the cumulative frequency table.
Mark, m m ≤ 10 m ≤ 20 m ≤ 30 m ≤ 40 m ≤ 50
Cumulative 20 48
frequency
(1)
(b) Draw a cumulative frequency graph.
Page 1 of 56
, (2)
(c) Students who scored 15 marks or fewer take another test.
Use your graph to estimate how many students take another test.
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Answer _________________________________________
(2)
(Total 5 marks)
Q4.
Here is a quadrilateral.
Not drawn accurately
Page 2 of 56
, a = 90° and a:b=5:3 x:y=1:3 Show that b=x
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(Total 3 marks)
Q5.
Circle the fraction that is equivalent to 4.625
(Total 1 mark)
Q6.
Ed and Fay shared £330 in the ratio 7 : 4
Ed gives Fay some of his money.
Fay now has the same amount as Ed.
How much does Ed give Fay?
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Page 3 of 56
, Answer £ _________________________________________
(Total 3 marks)
Q7.
Work out the value of
Circle your answer.
(Total 1 mark)
Q8.
Here are two right-angled triangles.
Not drawn accurately
Circle the value of y.
11 7.5 9 4
(Total 1 mark)
Q9.
Multiply out and simplify (x + 5)(x – 1)
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Answer _________________________________________
Page 4 of 56
Work out the value of (312 ÷ 35) ÷ (32 × 3)
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_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
Answer _________________________________________
(Total 3 marks)
Q2.
Work out the arc length, in metres, of a semicircle of radius 6 metres.
Circle your answer.
3π 6π 12π 18π
(Total 1 mark)
Q3.
Here is some information about the test marks of 120 students.
Mark, m 0 < m ≤ 10 10 < m ≤ 20 20 < m ≤ 30 30 < m ≤ 40 40 < m ≤ 50
Frequency 20 28 40 20 12
(a) Complete the cumulative frequency table.
Mark, m m ≤ 10 m ≤ 20 m ≤ 30 m ≤ 40 m ≤ 50
Cumulative 20 48
frequency
(1)
(b) Draw a cumulative frequency graph.
Page 1 of 56
, (2)
(c) Students who scored 15 marks or fewer take another test.
Use your graph to estimate how many students take another test.
___________________________________________________________________
___________________________________________________________________
Answer _________________________________________
(2)
(Total 5 marks)
Q4.
Here is a quadrilateral.
Not drawn accurately
Page 2 of 56
, a = 90° and a:b=5:3 x:y=1:3 Show that b=x
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_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
(Total 3 marks)
Q5.
Circle the fraction that is equivalent to 4.625
(Total 1 mark)
Q6.
Ed and Fay shared £330 in the ratio 7 : 4
Ed gives Fay some of his money.
Fay now has the same amount as Ed.
How much does Ed give Fay?
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
Page 3 of 56
, Answer £ _________________________________________
(Total 3 marks)
Q7.
Work out the value of
Circle your answer.
(Total 1 mark)
Q8.
Here are two right-angled triangles.
Not drawn accurately
Circle the value of y.
11 7.5 9 4
(Total 1 mark)
Q9.
Multiply out and simplify (x + 5)(x – 1)
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_______________________________________________________________________
_______________________________________________________________________
_______________________________________________________________________
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Answer _________________________________________
Page 4 of 56
