Change pack
Capstone
Jan 2 - 8
25 questions
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1.
Number
Simplify: √475
Answer: 5√19
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2.
Algebra
Complete the square: x² - 9x - 6
Answer: (x - 9⁄2)² - 105⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 21cm, angle = 70°. Give your answer to 2 decimal places
Answer: 197.34cm²
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4.
Ratio
a:b is 3:2 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 9:6:16
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5.
Statistics
Find the mean, median and range of: 11, 89, 97, 34, 31, 26, 10. Give your answer to 2 decimal places
Answer: Mean = 42.57, Median = 31, Range = 87
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1.
Number
Simplify: 2√27
Answer: 6√3
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2.
Algebra
Complete the square: x² + 7x + 5
Answer: (x + 7⁄2)² - 29⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 26cm, angle = 79°. Give your answer to 2 decimal places
Answer: 204.18cm²
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4.
Ratio
a:b is 7:8 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 63:72:16
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5.
Statistics
Find the mean, median and range of: 74, 71, 95, 61, 33, 38, 88. Give your answer to 2 decimal places
Answer: Mean = 65.71, Median = 71, Range = 62
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1.
Number
Simplify: √343
Answer: 7√7
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2.
Algebra
Complete the square: 5x² + 40x + 4
Answer: 5(x + 4)² - 76
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3.
Geometry
Find area of triangle: a = 13cm, b = 16cm, angle = 51°. Give your answer to 2 decimal places
Answer: 80.82cm²
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4.
Ratio
a:b is 9:5 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 27:15:10
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5.
Statistics
Find the mean, median and range of: 66, 77, 97, 46, 66, 75, 99. Give your answer to 2 decimal places
Answer: Mean = 75.14, Median = 75, Range = 53
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1.
Number
Simplify: √847
Answer: 11√7
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2.
Algebra
Complete the square: 4x² + 16x + 12
Answer: 4(x + 2)² - 4
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3.
Geometry
Find area of triangle: a = 29cm, b = 23cm, angle = 51°. Give your answer to 2 decimal places
Answer: 259.18cm²
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4.
Ratio
a:b is 7:5 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 21:15:35
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5.
Statistics
Find the mean, median and range of: 21, 36, 12, 94, 83, 98, 53, 57
Answer: Mean = 56.75, Median = 55, Range = 86
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1.
Number
Simplify: √272
Answer: 4√17
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2.
Algebra
Complete the square: 4x² + 16x + 7
Answer: 4(x + 2)² - 9
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3.
Geometry
Find area of triangle: a = 18cm, b = 25cm, angle = 41°. Give your answer to 2 decimal places
Answer: 147.61cm²
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4.
Ratio
a:b is 4:7 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 12:21:49
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5.
Statistics
Find the mean, median and range of: 97, 51, 100, 41, 19, 69, 86, 18, 80. Give your answer to 2 decimal places
Answer: Mean = 62.33, Median = 69, Range = 82