Two angles lie on a straight line. One angle is 127 degrees. What is the size of the other angle?
Diagram NOT accurately drawn
A) 43 degrees
B) 53 degrees
C) 63 degrees
D) 73 degrees
(Total for Question 1 is 1 mark)
2
Four angles meet at a point. Three of them are 95 degrees, 80 degrees and 100 degrees. What is the fourth angle?
Diagram NOT accurately drawn
A) 75 degrees
B) 85 degrees
C) 95 degrees
D) 105 degrees
(Total for Question 2 is 1 mark)
3
In triangle ABC, angle A = 47 degrees and angle B = 68 degrees. Calculate the size of angle C.
Diagram NOT accurately drawn
(Total for Question 3 is 2 marks)
4
A quadrilateral has angles of 90 degrees, 105 degrees and 60 degrees. Calculate the size of the fourth angle.
Diagram NOT accurately drawn
(Total for Question 4 is 2 marks)
5
Which of these describes an angle of 152 degrees?
A) Acute
B) Right angle
C) Obtuse
D) Reflex
(Total for Question 5 is 1 mark)
6
Priya draws a regular polygon with 7 equal sides and 7 equal angles.
(a)State the mathematical name of Priya's polygon.(1)
(b)State the order of rotational symmetry of a regular heptagon.(1)
(Total for Question 6 is 2 marks)
7
Zara draws a quadrilateral that has two pairs of parallel sides, with all four sides equal in length, but none of its angles are right angles.
(a)Name Zara's quadrilateral.(1)
(b)State the number of lines of symmetry of a rhombus that is not a square.(1)
(Total for Question 7 is 2 marks)
8
How many lines of symmetry does an isosceles triangle have (assuming it is not equilateral)?
A) 0
B) 1
C) 2
D) 3
(Total for Question 8 is 1 mark)
9
A square-based pyramid has a square base and four triangular faces that meet at a single apex point above the base.
(a)State the number of faces of the square-based pyramid.(1)
(b)State the number of edges of the square-based pyramid.(1)
(c)State the number of vertices of the square-based pyramid.(1)
(Total for Question 9 is 3 marks)
10
A 3D shape has 6 faces, 12 edges and 8 vertices, and every one of its faces is an identical square. What is this shape?
A) Cuboid
B) Cube
C) Square-based pyramid
D) Triangular prism
(Total for Question 10 is 1 mark)
11
The diagram shows a net made from a square in the centre with four identical triangles attached, one to each side of the square. Which 3D shape does this net fold up to make?
Diagram NOT accurately drawn
A) Cube
B) Square-based pyramid
C) Triangular prism
D) Tetrahedron
(Total for Question 11 is 1 mark)
12
The diagram shows a net made from six identical squares arranged in a cross shape.
Diagram NOT accurately drawn
(Total for Question 12 is 1 mark)
13
A rectangle has length 9 cm and width 5 cm. What is its perimeter?
A) 14 cm
B) 28 cm
C) 45 cm
D) 24 cm
(Total for Question 13 is 1 mark)
14
Oliver's patio is L-shaped, formed by removing a rectangular corner measuring 5 m by 3 m from a rectangle measuring 12 m by 8 m, as shown in the diagram. Calculate the perimeter of the patio.
Diagram NOT accurately drawn
(Total for Question 14 is 3 marks)
15
A rectangle measures 7 cm by 6 cm. What is its area?
A) 13 cm2
B) 26 cm2
C) 42 cm2
D) 48 cm2
(Total for Question 15 is 1 mark)
16
A triangle has a base of 10 cm and a perpendicular height of 6.4 cm. Calculate the area of the triangle.
(Total for Question 16 is 2 marks)
17
Aaliyah's garden is L-shaped, as shown in the diagram. The overall shape fits inside a rectangle 8 cm by 9 cm; a rectangular corner measuring 5 cm by 4 cm has been removed. Calculate the area of the garden.
Diagram NOT accurately drawn
(Total for Question 17 is 3 marks)
18
A cuboid has length 5 cm, width 4 cm and height 3 cm. Calculate the volume of the cuboid.
(Total for Question 18 is 2 marks)
19
A point P has coordinates (3, -2). In which quadrant of the coordinate grid does P lie?
A) First
B) Second
C) Third
D) Fourth
(Total for Question 19 is 1 mark)
20
Triangle A has vertices at (1, 2), (4, 2) and (1, 5). Triangle A is reflected in the y-axis to give triangle B.
(a)Write down the coordinates of the image of (1, 2) after this reflection.(1)
(b)Write down the coordinates of the image of (4, 2) after this reflection.(1)
(c)Write down the coordinates of the image of (1, 5) after this reflection.(1)
(Total for Question 20 is 3 marks)
21
Convert each of these lengths.
(a)Convert 3.6 metres into centimetres.(1)
(b)Convert 850 millimetres into centimetres.(1)
(Total for Question 21 is 2 marks)
22
Convert each of these measurements.
(a)Convert 2.4 kilograms into grams.(1)
(b)Convert 1750 millilitres into litres.(1)
(Total for Question 22 is 2 marks)
23
Fatima catches a train that departs Leeds at 09:47 and arrives in York at 10:22. After waiting at York for 18 minutes, the train continues and arrives in Newcastle at 12:15.
(a)Calculate how many minutes the journey from Leeds to York takes.(1)
(b)Calculate how long the journey from York to Newcastle takes, giving your answer in hours and minutes.(2)
(Total for Question 23 is 3 marks)
24
A cinema showing starts at 19:45 and lasts 2 hours 20 minutes.
(a)Calculate the time, using the 24-hour clock, at which the film finishes.(1)
(b)Convert this finishing time into the 12-hour clock, including am or pm.(1)
(Total for Question 24 is 2 marks)
25
A protractor shows the angle pointer resting exactly halfway between the 40 degree mark and the 60 degree mark on its scale. What angle is being measured?
A) 45 degrees
B) 50 degrees
C) 55 degrees
D) 60 degrees
(Total for Question 25 is 1 mark)
26
Connor uses a set of kitchen scales. The dial is numbered every 200 g, with 4 equally spaced unlabelled small divisions between each pair of numbered marks. The needle points to the 3rd small division after the 800 g mark.
(a)State the value of each small division, in grams.(1)
(b)Calculate the mass, in grams, that the needle is pointing to.(1)
(Total for Question 26 is 2 marks)
27
Kwame is installing a closed cuboid water tank that is 1.2 m long, 80 cm wide and 50 cm high.
(a)Convert the length of the tank into centimetres.(1)
(b)Calculate the volume of the tank in cm3.(2)
(c)The tank is filled with water until it is exactly half full. Given that 1 cm3 of water has a volume of 1 ml, calculate how many litres of water are in the tank.(2)