Understanding Elementary Shapes quiz

One complete revolution is equal to:

An angle of 135 degrees is:

A reflex angle measures:

The angle between the hands of a clock at 6 o'clock is:

A triangle with all three sides of different lengths is:

A quadrilateral with only one pair of parallel sides is a:

The number of edges of a cube is:

A polygon with 5 sides is called a:

The diagonals of a rhombus:

Which three-dimensional shape has one curved surface and one flat circular face?

What fraction of a revolution is a right angle and a straight angle? (2 marks)

Why is a divider more accurate than eye estimation for comparing line segments? (2 marks)

Give two examples of perpendicular lines from your surroundings. (2 marks)

Can a triangle have two obtuse angles? Give a reason. (2 marks)

Write two properties of a rectangle and two of a square. (2 marks)

Name the 3D shapes of: (i) a cricket ball (ii) an ice-cream cone (iii) a matchbox (iv) a gas cylinder. (2 marks)

What is the difference between a regular and an irregular polygon? (2 marks)

Which direction will you face if you start facing east and make a half revolution clockwise? (2 marks)

Count the faces, edges and vertices of a triangular prism. (2 marks)

What is the measure of the angle between the hands of a clock at 3 o'clock, and what type is it? (2 marks)

Find the measure of the angle turned through by the minute hand of a clock in (i) 15 minutes (ii) 30 minutes (iii) 20 minutes. (3 marks)

Find the number of right angles turned through by the hour hand of a clock when it goes from (i) 3 to 6 (ii) 2 to 8 (iii) 5 to 11 (iv) 10 to 1 (v) 12 to 9 (vi) 12 to 6. (3 marks)

A line segment AB is 8 cm long. Its perpendicular bisector meets it at M. Find AM and MB. If C is a point on AB with AC = 3 cm, find CM and CB. (3 marks)

The angles of a triangle are 50 degrees, 60 degrees and x degrees. If their sum is 180 degrees, find x and classify the triangle by angles. Repeat for angles 35 degrees, 55 degrees and y degrees. (3 marks)

Fill in the counts for a square pyramid and a cuboid: number of faces, edges and vertices. Find the total number of edges of 3 cubes and 2 square pyramids. (3 marks)

Read the passage and answer the questions. A windmill has four blades placed at equal angles to each other. As the wind blows, the blades rotate clockwise. Ravi watched one blade start at the top position. (i) What is the angle between two neighbouring blades? (ii) After the blade turns half a revolution, where will it be? (iii) How many degrees does a blade turn in 3 complete revolutions? (5 marks)

Read the passage and answer the questions. A carpenter is making a table top. He checks that all four corners are right angles and that the opposite sides are equal and parallel. He finds the length is 120 cm and the breadth is 80 cm. (i) What is the shape of the table top? (ii) Will the diagonals of the table top be equal? Explain. (iii) If all four sides were 100 cm with right-angled corners, what shape would it be? (5 marks)

Read the passage and answer the questions. In a park, three paths meet to form a triangle. Two of the paths are each 50 m long and the third is about 70.7 m long. One angle between the equal paths is measured as 90 degrees. (i) Classify the triangle by its sides. (ii) Classify it by its angles. (iii) What can you say about the other two angles? (5 marks)

Read the passage and answer the questions. A student brought a dice, a tent shape made of paper with a square base, a Toblerone chocolate box and a ball to the mathematics lab. (i) Name the 3D shape of each object. (ii) Which object has no edges or vertices? (iii) Which object has 5 faces, 8 edges and 5 vertices? (5 marks)

Read the passage and answer the questions. A traffic policeman stands facing north. He turns clockwise through 90 degrees to stop vehicles from the east, then a further 180 degrees, and then a further 45 degrees. (i) Which direction does he face after the first turn? (ii) Which direction after the second turn? (iii) Which direction after the third turn? (5 marks)

Explain how to measure an angle using a protractor, with a labelled diagram of the protractor showing the base line, centre point, inner scale and outer scale. Draw angles of 40, 90 and 125 degrees and classify them. (6 marks)

Draw and classify triangles according to both sides and angles: an equilateral triangle, an isosceles right triangle, a scalene obtuse triangle and an isosceles acute triangle. Write one property of each. (6 marks)

Draw a parallelogram, a rectangle, a rhombus, a square and a trapezium. Make a list of their properties: opposite sides parallel, opposite sides equal, all sides equal, all angles right angles, diagonals equal. Tick the properties each shape has. (6 marks)

Draw a cube, a cuboid, a cylinder, a cone and a sphere. For each, state the number of faces, edges and vertices (flat faces and curved surfaces where needed), and give one real-life example of each shape. (6 marks)

Draw a clock face and show the positions of the hands at 2:00, 3:00, 6:00 and 9:00. Find the angle between the hands each time and classify it. Explain how the hour hand moves through 30 degrees for every hour. (6 marks)