Change pack
Capstone
Feb 18 - 24
25 questions
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1.
Number
Simplify: √176
Answer: 4√11
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2.
Algebra
Complete the square: 4x² - 32x - 1
Answer: 4(x - 4)² - 65
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3.
Geometry
Find area of triangle: a = 28cm, b = 12cm, angle = 66°. Give your answer to 2 decimal places
Answer: 153.48cm²
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4.
Ratio
a:b is 3:7 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 6:14:49
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5.
Statistics
Find the mean, median and range of: 33, 26, 62, 19, 71, 27, 31. Give your answer to 2 decimal places
Answer: Mean = 38.43, Median = 31, Range = 52
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1.
Number
Simplify: √384
Answer: 8√6
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2.
Algebra
Complete the square: 3x² - 24x + 15
Answer: 3(x - 4)² - 33
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3.
Geometry
Find area of triangle: a = 29cm, b = 12cm, angle = 68°. Give your answer to 2 decimal places
Answer: 161.33cm²
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4.
Ratio
a:b is 5:4 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 35:28:20
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5.
Statistics
Find the mean, median and range of: 67, 59, 51, 95, 39, 42, 65. Give your answer to 2 decimal places
Answer: Mean = 59.71, Median = 59, Range = 56
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1.
Number
Simplify: 5√63
Answer: 15√7
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2.
Algebra
Complete the square: 2x² - 12x + 1
Answer: 2(x - 3)² - 17
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3.
Geometry
Find area of triangle: a = 14cm, b = 23cm, angle = 52°. Give your answer to 2 decimal places
Answer: 126.87cm²
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4.
Ratio
a:b is 6:5 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 42:35:25
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5.
Statistics
Find the mean, median and range of: 77, 66, 53, 81, 48, 77, 10, 62, 96. Give your answer to 2 decimal places
Answer: Mean = 63.33, Median = 66, Range = 86
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1.
Number
Simplify: √891
Answer: 9√11
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2.
Algebra
Complete the square: x² + x + 10
Answer: (x + 1⁄2)² + 39⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 13cm, angle = 50°. Give your answer to 2 decimal places
Answer: 59.75cm²
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4.
Ratio
a:b is 8:9 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 40:45:72
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5.
Statistics
Find the mean, median and range of: 84, 98, 67, 32, 79, 96, 59. Give your answer to 2 decimal places
Answer: Mean = 73.57, Median = 79, Range = 66
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1.
Number
Simplify: √425
Answer: 5√17
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2.
Algebra
Complete the square: x² - 7x + 1
Answer: (x - 7⁄2)² - 45⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 28cm, angle = 44°. Give your answer to 2 decimal places
Answer: 243.13cm²
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4.
Ratio
a:b is 5:6 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 35:42:48
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5.
Statistics
Find the mean, median and range of: 77, 15, 68, 79, 69, 93, 74. Give your answer to 2 decimal places
Answer: Mean = 67.86, Median = 74, Range = 78