Shape and Space

How many sides does a triangle have?

• A2
• B3✓
• C4
• D5

Answer: A triangle has 3 sides.

How many sides does a square have?

• A3
• B4✓
• C5
• D6

Answer: A square has 4 sides of equal length.

What is the sum of angles in a triangle?

• A90 degrees
• B360 degrees
• C270 degrees
• D180 degrees✓

Answer: The sum of angles in any triangle is 180 degrees.

How many vertices (corners) does a cube have?

• A6
• B8✓
• C10
• D12

Answer: A cube has 8 vertices (corners).

What is the perimeter of a square with sides of 5 cm?

• A10 cm
• B15 cm
• C25 cm
• D20 cm✓

Answer: Perimeter = 4 × side length = 4 × 5 = 20 cm.

What is the area of a rectangle with length 8 cm and width 5 cm?

• A40 cm²✓
• B26 cm²
• C64 cm²
• D13 cm²

Answer: Area = length × width = 8 × 5 = 40 cm².

How many faces does a cube have?

• A4
• B6✓
• C8
• D12

Answer: A cube has 6 faces (each is a square).

How many edges does a cube have?

• A6
• B8
• C12✓
• D14

Answer: A cube has 12 edges.

What is the perimeter of a triangle with sides 3 cm, 4 cm, and 5 cm?

• A12 cm✓
• B9 cm
• C15 cm
• D20 cm

Answer: Perimeter = 3 + 4 + 5 = 12 cm.

How many right angles are in a rectangle?

• A1
• B2
• C3
• D4✓

Answer: A rectangle has 4 right angles (90 degrees each).

What shape has no sides and no corners?

• ATriangle
• BPentagon
• CSquare
• DCircle✓

Answer: A circle is a curved shape with no straight sides or corners.

How many sides does a pentagon have?

• A4
• B5✓
• C6
• D7

Answer: A pentagon has 5 sides.

How many sides does a hexagon have?

• A5
• B6✓
• C7
• D8

Answer: A hexagon has 6 sides.

What is the area of a triangle with base 6 cm and height 4 cm?

• A12 cm²✓
• B10 cm²
• C24 cm²
• D15 cm²

Answer: Area = 1/2 × base × height = 1/2 × 6 × 4 = 12 cm².

How many degrees are in a right angle?

• A45
• B90✓
• C180
• D360

Answer: A right angle is 90 degrees.

What is the sum of all angles in a square?

• A360 degrees✓
• B270 degrees
• C180 degrees
• D450 degrees

Answer: All angles in a square are 90 degrees. 4 × 90 = 360 degrees.

A square has a side of 7 cm. What is its area?

• A35 cm²
• B64 cm²
• C28 cm²
• D49 cm²✓

Answer: Area of square = side × side = 7 × 7 = 49 cm².

How many faces does a triangular prism have?

• A3
• B4
• C5✓
• D6

Answer: A triangular prism has 5 faces (2 triangles and 3 rectangles).

What is the perimeter of a rectangle with length 10 m and width 6 m?

• A32 m✓
• B64 m
• C60 m
• D16 m

Answer: Perimeter = 2 × (length + width) = 2 × (10 + 6) = 2 × 16 = 32 m.

How many degrees is a straight angle?

• A90
• B180✓
• C270
• D360

Answer: A straight angle is 180 degrees.

A circle has a radius of 5 cm. What is its diameter?

• A25 cm
• B5 cm
• C15 cm
• D10 cm✓

Answer: Diameter = 2 × radius = 2 × 5 = 10 cm.

How many degrees in a full rotation?

• A90
• B180
• C270
• D360✓

Answer: A full rotation is 360 degrees.

A triangle has two angles of 60 degrees each. What is the third angle?

• A40 degrees
• B90 degrees
• C30 degrees
• D60 degrees✓

Answer: Sum of angles = 180. 180 - 60 - 60 = 60 degrees.

What is the area of a rectangle with length 12 m and width 8 m?

• A20 m²
• B192 m²
• C40 m²
• D96 m²✓

Answer: Area = length × width = 12 × 8 = 96 m².

How many vertices does a rectangular pyramid have?

• A4
• B5✓
• C6
• D8

Answer: A rectangular pyramid has 5 vertices (4 on the base, 1 at the apex).

A rectangle has a perimeter of 30 cm and a length of 10 cm. What is its width?

• A20 cm
• B5 cm✓
• C15 cm
• D10 cm

Answer: The two lengths use 2 × 10 = 20 cm of the perimeter, leaving 30 - 20 = 10 cm for the two widths. Each width is 10 ÷ 2 = 5 cm.

A rectangular room is 4.5 m long and 3.2 m wide. What is the area of the floor?

• A7.7 m²
• B15.4 m²
• C14.4 m²✓
• D12.4 m²

Answer: Area of a rectangle is length × width: 4.5 × 3.2 = 14.4 m². Adding the two sides gives 7.7, which is half the perimeter, not the area.

A rectangular garden is 6 m long and 3.5 m wide. How much fencing is needed to go all the way round it?

• A21 m
• B19 m✓
• C9.5 m
• D38 m

Answer: The perimeter is twice the length plus twice the width: 6 + 6 + 3.5 + 3.5 = 19 m. 9.5 m covers only one length and one width.

A room is a rectangle 8 m by 5 m with a 3 m by 2 m rectangle cut out of one corner for a cupboard. What is the floor area of the room?

• A46 m²
• B40 m²
• C28 m²
• D34 m²✓

Answer: Find the area of the full rectangle: 8 × 5 = 40 m². Take away the corner that is cut out: 3 × 2 = 6 m². 40 − 6 = 34 m².

A storage box is 40 cm long, 30 cm wide and 20 cm high. What is its volume?

• A5,200 cm³
• B90 cm³
• C24,000 cm³✓
• D2,400 cm³

Answer: Volume of a cuboid is length × width × height: 40 × 30 × 20 = 24,000 cm³. Adding the three measurements gives 90, which is not a volume.

Two angles in a triangle are 65° and 48°. What is the third angle?

• A67°✓
• B113°
• C247°
• D77°

Answer: The angles in a triangle add up to 180°. 65° + 48° = 113°, and 180° − 113° = 67°.

A flat piece of card is made of six identical squares joined in a cross shape. Which 3D shape does it fold up to make?

• AA cube✓
• BA pyramid
• CA cylinder
• DA prism

Answer: A cube has six faces and every face is a square of the same size, so a net of six identical squares folds into a cube.

A floor is 4 m long and 3 m wide. It is to be covered with square tiles that are 50 cm by 50 cm. How many tiles are needed?

• A48✓
• B96
• C24
• D12

Answer: Work in centimetres. 400 ÷ 50 = 8 tiles fit along the length and 300 ÷ 50 = 6 along the width. 8 × 6 = 48 tiles.

A ramp meets level ground at an angle of 35°. What is the size of the angle next to it on the straight line of the ground?

• A55°
• B145°✓
• C325°
• D155°

Answer: Angles on a straight line add up to 180°. 180° − 35° = 145°. 55° would be correct for angles that add up to a right angle of 90°.