Geometric probability
Grade 10 Math Worksheet - Building Confidence
Circle the best answer.
A bird lands at a random point on Ari's 20-m fence. What is the chance it lands within 3 m of the fence's midpoint, on either side?
- 3/17
- 3/10
- 3/20
- 7/10
Bo cuts a 15-ft rope at a random point. What is the chance both pieces are at least 4 ft long?
- 8/15
- 7/8
- 11/15
- 7/15
Jun's 60-minute show has one ad at a random minute. What is the chance the ad is in the first 15 minutes or the last 10 minutes?
- 5/12
- 1/4
- 7/12
- 5/7
Kira's yard is 8 m by 10 m, with a 3 m by 4 m sandbox. A ball lands at a random spot in the yard. What is the chance it lands in the sandbox?
- 17/20
- 3/20
- 3/17
- 7/18
Luz's target mat is a circle of radius 10 cm, and the bullseye has radius 2 cm. A beanbag lands at a random spot on the mat. What is the chance it hits the bullseye?
- 1/24
- 24/25
- 1/25
- 1/5
Pia's square park has 10 m sides and a round pond of radius 3 m. A raindrop lands at random in the park. Which calculation gives the chance it lands in the pond?
- π × 3² ÷ (10² − π × 3²)
- π × 3 ÷ 10
- 2π × 3 ÷ (4 × 10)
- π × 3² ÷ 10²
Ren's round target has outer radius 8 cm and an inner circle of radius 5 cm. Which calculation gives the chance a random beanbag lands in the outer ring only?
- 5² ÷ 8²
- (8 − 5)² ÷ 8²
- (8 − 5) ÷ 8
- (8² − 5²) ÷ 8²
A class lasts 50 minutes. Tala's fire drill starts at a random minute. Which calculation gives the chance it starts between minute 10 and minute 30?
- 30 ÷ 50
- (50 − 20) ÷ 50
- 20 ÷ (50 − 20)
- (30 − 10) ÷ 50
Zee's circular spinner has a shaded sector of 120°. The arrow stops at a random spot. Which calculation gives the chance it stops in the shaded sector?
- 120 ÷ 180
- 120 ÷ 240
- 120 ÷ 360
- 240 ÷ 360
A paint drop lands at random on Ari's 14 ft by 6 ft wall, which has a triangular sail (base 10 ft, height 3 ft). Which calculation gives the chance it lands on the sail?
- (10 + 3) ÷ (14 + 6)
- (10 × 3) ÷ (14 × 6)
- (½ × 10 × 3) ÷ (14 × 6)
- (½ × 10 × 3) ÷ (14 × 6 − ½ × 10 × 3)