Practice sheet

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An angle measures $33^\circ$ . What is its complement (degrees)?
An angle measures $81^\circ$ . What is its supplement (degrees)?
Two angles on a straight line measure $68^\circ$ and $(x + 22)^\circ$ . Find $x$ .
Can three sticks of lengths 8, 9 and 18 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 9, 2 and 12 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 5, 4 and 10 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 6, 8 and 15 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 6, 4 and 11 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 8, 7 and 16 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 4, 5 and 10 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 6, 3 and 10 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 7, 8 and 16 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 5, 2 and 8 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 4, 8 and 13 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 9, 9 and 19 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 2, 5 and 8 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 6, 2 and 9 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 7, 9 and 17 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 6, 6 and 13 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 6, 5 and 12 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 7, 2 and 10 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 2, 8 and 11 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 3, 2 and 6 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 5, 8 and 14 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 5, 6 and 12 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 2, 4 and 7 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 3, 7 and 11 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 9, 3 and 13 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 8, 4 and 13 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 8, 3 and 12 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 2, 7 and 10 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 3, 8 and 12 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 4, 6 and 11 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 3, 3 and 7 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 9, 7 and 17 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 7, 6 and 14 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 5, 9 and 15 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 8, 5 and 14 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 7, 4 and 12 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 8, 8 and 17 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 7, 7 and 15 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 3, 9 and 13 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 9, 6 and 16 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 9, 5 and 15 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 4, 9 and 14 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 6, 7 and 14 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 2, 9 and 12 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 6, 9 and 16 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 2, 2 and 5 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 7, 5 and 13 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 4, 2 and 7 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 3, 5 and 9 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Can three sticks of lengths 9, 8 and 18 cm form a triangle?
1. No: the two shorter sticks are too short to meet
2. Yes: any three lengths make a triangle
3. Only as a right triangle
Two sides of a triangle are 15 cm and 3 cm. What is the largest possible whole-number length of the third side?
Two sides of a triangle are 14 cm and 4 cm. What is the smallest possible whole-number length of the third side?
A cylinder of radius 4 is sliced by a plane parallel to its base. What shape is the cross section?
1. A circle of radius 4
2. A rectangle
3. An ellipse
A cylinder of radius 2 is sliced by a plane parallel to its base. What shape is the cross section?
1. A circle of radius 2
2. A rectangle
3. An ellipse
A cylinder of radius 5 is sliced by a plane parallel to its base. What shape is the cross section?
1. A circle of radius 5
2. A rectangle
3. An ellipse
A cylinder of radius 8 is sliced by a plane parallel to its base. What shape is the cross section?
1. A circle of radius 8
2. A rectangle
3. An ellipse
A cylinder of radius 7 is sliced by a plane parallel to its base. What shape is the cross section?
1. A circle of radius 7
2. A rectangle
3. An ellipse
A cylinder of radius 3 is sliced by a plane parallel to its base. What shape is the cross section?
1. A circle of radius 3
2. A rectangle
3. An ellipse
A cylinder of radius 9 is sliced by a plane parallel to its base. What shape is the cross section?
1. A circle of radius 9
2. A rectangle
3. An ellipse
A cylinder of radius 6 is sliced by a plane parallel to its base. What shape is the cross section?
1. A circle of radius 6
2. A rectangle
3. An ellipse
A 9 by 6 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 2 by 5 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 5 by 4 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 9 by 7 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 4 by 6 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 2 by 4 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 7 by 4 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 3 by 2 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 7 by 3 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 5 by 5 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 5 by 2 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 2 by 2 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 8 by 8 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 3 by 6 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 9 by 5 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 7 by 2 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 7 by 9 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 6 by 2 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 4 by 7 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 2 by 8 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 6 by 8 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 6 by 6 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 2 by 7 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 4 by 2 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 8 by 9 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 9 by 2 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 8 by 7 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 9 by 3 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 3 by 4 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 5 by 8 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 5 by 6 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 5 by 3 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 4 by 3 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 8 by 3 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 3 by 3 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 7 by 8 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 8 by 4 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 6 by 9 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 2 by 3 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 3 by 9 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 3 by 5 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 4 by 8 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 4 by 4 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 9 by 9 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 4 by 5 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 7 by 5 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 3 by 8 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 5 by 9 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 9 by 4 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A 8 by 5 rectangle is rotated about one of its sides. Which solid does it sweep out?
1. A cylinder
2. A cone
3. A sphere
A cone of height 3 is sliced by a vertical plane through its apex. What shape is the cross section?
1. An isosceles triangle
2. A circle
3. A rectangle
A cone of height 6 is sliced by a vertical plane through its apex. What shape is the cross section?
1. An isosceles triangle
2. A circle
3. A rectangle
A cone of height 8 is sliced by a vertical plane through its apex. What shape is the cross section?
1. An isosceles triangle
2. A circle
3. A rectangle
A cone of height 5 is sliced by a vertical plane through its apex. What shape is the cross section?
1. An isosceles triangle
2. A circle
3. A rectangle
A cone of height 9 is sliced by a vertical plane through its apex. What shape is the cross section?
1. An isosceles triangle
2. A circle
3. A rectangle
A cone of height 4 is sliced by a vertical plane through its apex. What shape is the cross section?
1. An isosceles triangle
2. A circle
3. A rectangle
A cone of height 7 is sliced by a vertical plane through its apex. What shape is the cross section?
1. An isosceles triangle
2. A circle
3. A rectangle
Find the volume of a cylinder with radius 3 cm and height 4 cm (exact, in terms of π).Not to scale
A prism has a triangular base with base 2 cm and height 7 cm, and the prism is 7 cm long. Find its volume (cm³).Not to scale
A cylinder of radius 5 cm has volume $175\pi$ cm³. Find its height (cm).Not to scale
Find the surface area of a box (rectangular prism) 6 cm by 9 cm by 5 cm (cm²).Not to scale
Find the surface area of a cube with edge 10 cm (cm²).
A prism has right-triangle bases with sides 3, 4 and 5 cm, and length 7 cm. Find its surface area (cm²).Not to scale

Answers

$57$
$99$
$90$
No: the two shorter sticks are too short to meet
$17$
$11$
A circle of radius 4
A cylinder
An isosceles triangle
$36 \pi$
$49$
$7$
$258$
$600$
$96$