Change pack
Capstone
Feb 14 - 20
25 questions
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1.
Number
Simplify: √112
Answer: 4√7
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2.
Algebra
Complete the square: 5x² + 50x - 9
Answer: 5(x + 5)² - 134
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3.
Geometry
Find area of triangle: a = 27cm, b = 25cm, angle = 45°. Give your answer to 2 decimal places
Answer: 238.65cm²
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4.
Ratio
a:b is 9:2 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 45:10:14
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5.
Statistics
Find the mean, median and range of: 83, 35, 56, 45, 86, 23, 12, 65, 58. Give your answer to 2 decimal places
Answer: Mean = 51.44, Median = 56, Range = 74
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1.
Number
Simplify: 5√96
Answer: 20√6
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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 = 24cm, b = 13cm, angle = 71°. Give your answer to 2 decimal places
Answer: 147.5cm²
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4.
Ratio
a:b is 7:4 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 21:12:20
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5.
Statistics
Find the mean, median and range of: 10, 81, 81, 97, 99, 30, 34, 94
Answer: Mean = 65.75, Median = 81, Range = 89
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1.
Number
Simplify: √612
Answer: 6√17
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2.
Algebra
Complete the square: 2x² - 4x - 8
Answer: 2(x - 1)² - 10
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3.
Geometry
Find area of triangle: a = 18cm, b = 13cm, angle = 60°. Give your answer to 2 decimal places
Answer: 101.32cm²
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4.
Ratio
a:b is 3:8 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 27:72:16
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5.
Statistics
Find the mean, median and range of: 41, 65, 21, 87, 54, 34, 75. Give your answer to 2 decimal places
Answer: Mean = 53.86, Median = 54, Range = 66
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1.
Number
Simplify: √243
Answer: 9√3
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2.
Algebra
Complete the square: 4x² + 48x - 2
Answer: 4(x + 6)² - 146
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3.
Geometry
Find area of triangle: a = 15cm, b = 19cm, angle = 45°. Give your answer to 2 decimal places
Answer: 100.76cm²
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4.
Ratio
a:b is 9:7 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 45:35:63
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5.
Statistics
Find the mean, median and range of: 94, 21, 84, 47, 79, 68, 91, 15. Give your answer to 2 decimal places
Answer: Mean = 62.38, Median = 73.5, Range = 79
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1.
Number
Simplify: √896
Answer: 8√14
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2.
Algebra
Complete the square: 3x² + 36x + 4
Answer: 3(x + 6)² - 104
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3.
Geometry
Find area of triangle: a = 20cm, b = 18cm, angle = 61°. Give your answer to 2 decimal places
Answer: 157.43cm²
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4.
Ratio
a:b is 3:8 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 27:72:40
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5.
Statistics
Find the mean, median and range of: 74, 75, 14, 78, 42, 33, 83, 97, 67. Give your answer to 2 decimal places
Answer: Mean = 62.56, Median = 74, Range = 83