Work out the exact value of cos 60° + tan 45° × sin 60°.
From Paper 1 (non-calculator), Higher
133 marks
A, B and C are points on a circle with centre O. Angle AOC = 114°. B is on the major arc. (a) Find angle ABC. (b) D is on the minor arc AC. Find angle ADC. Give a reason for each answer.
From Paper 1 (non-calculator), Higher
233 marks
A regular polygon has 20 sides. Work out the size of each interior angle, and explain why regular polygons with interior angle 100° cannot exist.
From Paper 2 (calculator), Higher
33 marks
In a right-angled triangle the side opposite angle θ is 9 cm and the hypotenuse is 15 cm. Calculate θ to 1 decimal place.
From Paper 2 (calculator), Higher
43 marks
A cuboid measures 10 cm by 7 cm by 6 cm. Calculate the length of the longest diagonal to 1 decimal place.
From Paper 2 (calculator), Higher
55 marks
Triangle ABC has AC = 8 cm, BC = 13 cm and angle ACB = 62°. (a) Calculate AB to 3 significant figures. (b) Calculate the area of the triangle to 3 significant figures.
From Paper 2 (calculator), Higher
63 marks
In triangle PQR, angle P = 47°, angle Q = 68° and QR = 11 cm. Calculate PR to 3 significant figures.
From Paper 2 (calculator), Higher
74 marks
A solid cone has radius 5 cm and perpendicular height 12 cm. Calculate (a) its volume and (b) its total surface area, both to 3 significant figures. (V = ⅓πr²h, curved surface area = πrl)
From Paper 2 (calculator), Higher
124 marks
Two mathematically similar solids have lengths in the ratio 1 : 4. The smaller has surface area 25 cm² and volume 15 cm³. Find the surface area and volume of the larger solid.
From Paper 2 (calculator), Higher
134 marks
A sector has radius 12 cm and angle 105°. Work out (a) its area and (b) its perimeter, to 1 decimal place.
From Paper 2 (calculator), Higher
223 marks
A sphere has radius 4.5 cm. Work out its volume and surface area to 3 significant figures. (V = 4/3πr³, A = 4πr²)
From Paper 3 (calculator), Higher
23 marks
In a right-angled triangle the side opposite angle θ is 11 cm and the hypotenuse is 20 cm. Calculate θ to 1 decimal place.
From Paper 3 (calculator), Higher
35 marks
Triangle ABC has AC = 6.4 cm, BC = 9.8 cm and angle ACB = 128°. (a) Calculate AB to 3 significant figures. (b) Calculate the area of the triangle to 3 significant figures.
From Paper 3 (calculator), Higher
44 marks
A solid cone has radius 3.5 cm and perpendicular height 8 cm. Calculate (a) its volume and (b) its total surface area, both to 3 significant figures. (V = ⅓πr²h, curved surface area = πrl)
From Paper 3 (calculator), Higher
54 marks
Two mathematically similar solids have lengths in the ratio 1 : 3. The smaller has surface area 12 cm² and volume 8 cm³. Find the surface area and volume of the larger solid.
From Paper 3 (calculator), Higher
124 marks
A sector has radius 8 cm and angle 230°. Work out (a) its area and (b) its perimeter, to 1 decimal place.
From Paper 3 (calculator), Higher
194 marks
A garden is a trapezium with parallel sides 9 m and 15 m and perpendicular height 10 m. A circular pond of radius 2 m is dug in it. Turf costs £3.80 per m². Work out the cost of turfing the rest of the garden.
From Paper 3 (calculator), Higher
204 marks
A cylindrical tank has radius 40 cm and height 90 cm. Water flows in at 12 litres per minute. How long does it take to fill the tank? Give your answer in minutes to 1 decimal place. (1 litre = 1000 cm³)
Score 0 / 66 · 0 of 18 marked
This paper is written by Plasmo in the style of the Edexcel GCSE Maths exam. It is not a past paper and is not produced or endorsed by the exam board.
Geometry and measures Exam Questions: Edexcel GCSE Maths | Plasmo