1. Calculator Paper Revision Higher

2. Topic Index- These were not on Paper 1
Mean Grouped Frequency Table
Enlargement negative/ fractional scale factor
moving averages
Cumulative Frequency
Standard Form Calculator
Reverse % (find the original)
loci
Trig/ Pythagoras
Volume
Trig non right angled
angle sum of polygon

3. Work out an estimate of the mean weight.
Sybil weighed some pieces of cheese.
The table gives information about her results.
Work out an estimate of the mean weight.
grams
(4 marks)
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(2 marks)

5. In a sale, normal prices are reduced by 12%.
The sale price of a DVD player is £242.
Work out the normal price of the DVD player. £
(3 marks)
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A garage sells cars.
It offers a discount of 20% off the normal price for cash.
Dave pays £5200 cash for a car.
Calculate the normal price of the car.
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6. A statue stands on a column.
In the diagram AB represents the statue and BC represents the column.
Angle ACD = 90°.
Angle BDA = 2.8°.
AD = 91.2 m and BD = 88.3 m.
ABC is a vertical straight line.
(a) Calculate the height, AB, of the statue. Give your answer, in metres,
correct to 3 significant figures. (3 marks)
(b) Calculate the height, BC, of the column. Give your answer, in metres,
correct to 3 significant figures. (5 marks)
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7. The diagram shows a trapezium. AB is parallel to DC. Angle A = 90°.
AB = 13 cm, AD = 6 cm and CD = 8 cm.
Calculate the size of angle B.
Give your answer correct to 1 decimal place. °
(4 marks)
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8. The diagram shows triangle ABC. AC = 7.2 cm. BC = 8.35 cm.
Angle ACB = 74°.
(a) Calculate the area of triangle ABC.
Give your answer correct to 3 significant figures. ,
(3 marks)
(b) Calculate the length of AB. cm
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9. Enlarge shape T with scale factor -1.5, centre (0, 2). (3 marks)
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Enlarge shape T with scale factor -1.5, centre (0, 2). (3 marks)

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11. (a) Work out the value of
Give your answer in standard form. (2 marks)
The distance from Earth to the star Proxima Centauri is 4.22 light years.
1 light year = ´ 1012 km.
(b) Work out the distance in kilometres from Earth to the star Proxima Centauri.
Give your answer in standard form correct to 3 significant figures. km
(2 marks)
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12. The diagram shows two points P and Q.
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On the diagram shade the region which contains all the points that satisfy both
the following:-
the distance from P is less than 3 cm,
the distance from P is greater than the distance from Q. (3 marks)

13. The diagram represents a triangular garden ABC.
The scale of the diagram is 1 cm represents 1 m.
A tree is to be planted in the garden so that it is
nearer to AB than to AC,
within 5 m of point A.
On the diagram, shade the region where the tree may be planted.
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14. (a) Calculate the volume of the cylinder.
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The diagram shows a cylinder with a height of 10 cm and a radius of 4 cm.
(a) Calculate the volume of the cylinder.
Give your answer correct to 3 significant figures.
cm3
(2 marks)
The length of a pencil is 13 cm.
The pencil cannot be broken.
(b) Show that this pencil cannot fit inside the cylinder. (3 marks)

15. The diagram shows a prism.
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The diagram shows a prism.
The cross-section of the prism is a trapezium.
The lengths of the parallel sides of the trapezium are 8 cm and 6 cm.
The distance between the parallel sides of the trapezium is 5 cm.
The length of the prism is 20 cm.
(a) Work out the volume of the prism.
cm3
(3 marks)

16. ABCDEFGH is a regular octagon. O is the centre of the octagon.
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ABCDEFGH is a regular octagon.
O is the centre of the octagon.
Calculate the size of angle AOF. °
(3 marks)

17. A shopkeeper recorded the number of books he sold every three months.
The table shows his records from January 2000 to June 2001.
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Calculate the complete set of three-point moving averages for this data.
(3 marks)