Change pack
Capstone
Jun 11 - 17
25 questions
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1.
Number
Simplify: √125
Answer: 5√5
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2.
Algebra
Complete the square: 4x² + 16x - 8
Answer: 4(x + 2)² - 24
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3.
Geometry
Find area of triangle: a = 25cm, b = 25cm, angle = 66°. Give your answer to 2 decimal places
Answer: 285.48cm²
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4.
Ratio
a:b is 1:5 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 4:20:25
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5.
Statistics
Find the mean, median and range of: 76, 32, 44, 74, 45, 34, 48, 26. Give your answer to 2 decimal places
Answer: Mean = 47.38, Median = 44.5, Range = 50
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1.
Number
Simplify: 3√75
Answer: 15√3
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2.
Algebra
Complete the square: x² + 7x + 10
Answer: (x + 7⁄2)² - 9⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 12cm, angle = 61°. Give your answer to 2 decimal places
Answer: 94.46cm²
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4.
Ratio
a:b is 8:9 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 56:63:27
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5.
Statistics
Find the mean, median and range of: 85, 45, 100, 57, 52, 89, 66. Give your answer to 2 decimal places
Answer: Mean = 70.57, Median = 66, Range = 55
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1.
Number
Simplify: √864
Answer: 12√6
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2.
Algebra
Complete the square: 2x² + 8x - 14
Answer: 2(x + 2)² - 22
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3.
Geometry
Find area of triangle: a = 25cm, b = 18cm, angle = 80°. Give your answer to 2 decimal places
Answer: 221.58cm²
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4.
Ratio
a:b is 2:7 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 6:21:49
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5.
Statistics
Find the mean, median and range of: 83, 87, 90, 27, 25, 41, 48. Give your answer to 2 decimal places
Answer: Mean = 57.29, Median = 48, Range = 65
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1.
Number
Simplify: √833
Answer: 7√17
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2.
Algebra
Complete the square: x² + 11x - 11
Answer: (x + 11⁄2)² - 165⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 27cm, angle = 60°. Give your answer to 2 decimal places
Answer: 222.14cm²
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4.
Ratio
a:b is 3:5 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 27:45:20
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5.
Statistics
Find the mean, median and range of: 42, 72, 10, 21, 67, 32, 78
Answer: Mean = 46, Median = 42, Range = 68
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1.
Number
Simplify: 5√48
Answer: 20√3
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2.
Algebra
Complete the square: 4x² + 32x - 12
Answer: 4(x + 4)² - 76
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3.
Geometry
Find area of triangle: a = 25cm, b = 24cm, angle = 41°. Give your answer to 2 decimal places
Answer: 196.82cm²
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4.
Ratio
a:b is 2:7 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 18:63:28
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5.
Statistics
Find the mean, median and range of: 12, 63, 36, 57, 64, 19, 96, 16, 16. Give your answer to 2 decimal places
Answer: Mean = 42.11, Median = 36, Range = 84