Change pack
Capstone
Oct 22 - 28
25 questions
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1.
Number
Simplify: √150
Answer: 5√6
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2.
Algebra
Complete the square: 3x² - 18x - 10
Answer: 3(x - 3)² - 37
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3.
Geometry
Find area of triangle: a = 20cm, b = 19cm, angle = 77°. Give your answer to 2 decimal places
Answer: 185.13cm²
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4.
Ratio
a:b is 7:3 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 49:21:12
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5.
Statistics
Find the mean, median and range of: 33, 53, 64, 19, 71, 87, 87. Give your answer to 2 decimal places
Answer: Mean = 59.14, Median = 64, Range = 68
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1.
Number
Simplify: √704
Answer: 8√11
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2.
Algebra
Complete the square: 3x² - 6x + 4
Answer: 3(x - 1)² + 1
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3.
Geometry
Find area of triangle: a = 19cm, b = 26cm, angle = 61°. Give your answer to 2 decimal places
Answer: 216.03cm²
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4.
Ratio
a:b is 9:2 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 63:14:18
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5.
Statistics
Find the mean, median and range of: 46, 98, 41, 89, 14, 33, 35, 90, 59. Give your answer to 2 decimal places
Answer: Mean = 56.11, Median = 46, Range = 84
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1.
Number
Simplify: √216
Answer: 6√6
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2.
Algebra
Complete the square: x² - 11x + 1
Answer: (x - 11⁄2)² - 117⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 28cm, angle = 50°. Give your answer to 2 decimal places
Answer: 203.77cm²
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4.
Ratio
a:b is 4:5 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 32:40:25
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5.
Statistics
Find the mean, median and range of: 38, 67, 63, 20, 51, 94, 46. Give your answer to 2 decimal places
Answer: Mean = 54.14, Median = 51, Range = 74
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1.
Number
Simplify: 3√20
Answer: 6√5
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2.
Algebra
Complete the square: x² - 11x - 7
Answer: (x - 11⁄2)² - 149⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 22cm, angle = 51°. Give your answer to 2 decimal places
Answer: 128.23cm²
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4.
Ratio
a:b is 9:8 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 63:56:24
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5.
Statistics
Find the mean, median and range of: 94, 54, 23, 76, 21, 73, 83. Give your answer to 2 decimal places
Answer: Mean = 60.57, Median = 73, Range = 73
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1.
Number
Simplify: √612
Answer: 6√17
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2.
Algebra
Complete the square: 4x² + 8x - 3
Answer: 4(x + 1)² - 7
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3.
Geometry
Find area of triangle: a = 14cm, b = 28cm, angle = 62°. Give your answer to 2 decimal places
Answer: 173.06cm²
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4.
Ratio
a:b is 9:5 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 81:45:40
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5.
Statistics
Find the mean, median and range of: 12, 95, 91, 94, 81, 26, 77, 93, 12. Give your answer to 2 decimal places
Answer: Mean = 64.56, Median = 81, Range = 83