Change pack
Capstone
Jun 20 - 26
25 questions
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1.
Number
Simplify: √125
Answer: 5√5
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2.
Algebra
Complete the square: 3x² + 30x + 3
Answer: 3(x + 5)² - 72
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3.
Geometry
Find area of triangle: a = 17cm, b = 18cm, angle = 66°. Give your answer to 2 decimal places
Answer: 139.77cm²
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4.
Ratio
a:b is 4:5 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 28:35:20
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5.
Statistics
Find the mean, median and range of: 82, 65, 100, 68, 85, 66, 100, 53. Give your answer to 2 decimal places
Answer: Mean = 77.38, Median = 75, Range = 47
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1.
Number
Simplify: √810
Answer: 9√10
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2.
Algebra
Complete the square: 4x² - 8x + 12
Answer: 4(x - 1)² + 8
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3.
Geometry
Find area of triangle: a = 21cm, b = 12cm, angle = 46°. Give your answer to 2 decimal places
Answer: 90.64cm²
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4.
Ratio
a:b is 8:9 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 64:72:63
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5.
Statistics
Find the mean, median and range of: 97, 60, 93, 18, 16, 78, 56, 84
Answer: Mean = 62.75, Median = 69, Range = 81
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1.
Number
Simplify: 5√176
Answer: 20√11
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2.
Algebra
Complete the square: x² - 5x + 9
Answer: (x - 5⁄2)² + 11⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 24cm, angle = 41°. Give your answer to 2 decimal places
Answer: 204.69cm²
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4.
Ratio
a:b is 3:5 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 24:40:25
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5.
Statistics
Find the mean, median and range of: 78, 51, 24, 70, 19, 18, 56. Give your answer to 2 decimal places
Answer: Mean = 45.14, Median = 51, Range = 60
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1.
Number
Simplify: 5√45
Answer: 15√5
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2.
Algebra
Complete the square: 5x² - 20x + 4
Answer: 5(x - 2)² - 16
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3.
Geometry
Find area of triangle: a = 30cm, b = 24cm, angle = 45°. Give your answer to 2 decimal places
Answer: 254.56cm²
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4.
Ratio
a:b is 5:7 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 30:42:35
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5.
Statistics
Find the mean, median and range of: 32, 16, 86, 26, 68, 24, 79. Give your answer to 2 decimal places
Answer: Mean = 47.29, Median = 32, Range = 70
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1.
Number
Simplify: √720
Answer: 12√5
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2.
Algebra
Complete the square: x² + 5x + 3
Answer: (x + 5⁄2)² - 13⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 18cm, angle = 65°. Give your answer to 2 decimal places
Answer: 228.39cm²
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4.
Ratio
a:b is 5:3 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 35:21:24
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5.
Statistics
Find the mean, median and range of: 87, 17, 58, 74, 96, 64, 82, 33, 64. Give your answer to 2 decimal places
Answer: Mean = 63.89, Median = 64, Range = 79