Change pack
Capstone
Feb 13 - 19
25 questions
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1.
Number
Simplify: √216
Answer: 6√6
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2.
Algebra
Complete the square: 3x² - 30x + 13
Answer: 3(x - 5)² - 62
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3.
Geometry
Find area of triangle: a = 18cm, b = 29cm, angle = 45°. Give your answer to 2 decimal places
Answer: 184.55cm²
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4.
Ratio
a:b is 7:3 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 35:15:27
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5.
Statistics
Find the mean, median and range of: 23, 66, 98, 96, 60, 30, 80. Give your answer to 2 decimal places
Answer: Mean = 64.71, Median = 66, Range = 75
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1.
Number
Simplify: √468
Answer: 6√13
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2.
Algebra
Complete the square: x² + 11x - 6
Answer: (x + 11⁄2)² - 145⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 25cm, angle = 45°. Give your answer to 2 decimal places
Answer: 256.33cm²
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4.
Ratio
a:b is 5:2 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 25:10:14
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5.
Statistics
Find the mean, median and range of: 59, 40, 77, 36, 55, 24, 20, 45, 24. Give your answer to 2 decimal places
Answer: Mean = 42.22, Median = 40, Range = 57
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1.
Number
Simplify: √1000
Answer: 10√10
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2.
Algebra
Complete the square: x² + 11x - 10
Answer: (x + 11⁄2)² - 161⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 27cm, angle = 72°. Give your answer to 2 decimal places
Answer: 295.3cm²
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4.
Ratio
a:b is 7:5 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 14:10:5
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5.
Statistics
Find the mean, median and range of: 91, 57, 39, 86, 62, 78, 46. Give your answer to 2 decimal places
Answer: Mean = 65.57, Median = 62, Range = 52
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1.
Number
Simplify: √300
Answer: 10√3
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2.
Algebra
Complete the square: 3x² + 24x + 13
Answer: 3(x + 4)² - 35
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3.
Geometry
Find area of triangle: a = 16cm, b = 23cm, angle = 73°. Give your answer to 2 decimal places
Answer: 175.96cm²
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4.
Ratio
a:b is 5:7 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 15:21:14
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5.
Statistics
Find the mean, median and range of: 50, 43, 66, 91, 15, 71, 76, 58
Answer: Mean = 58.75, Median = 62, Range = 76
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1.
Number
Simplify: 4√176
Answer: 16√11
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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 = 29cm, b = 30cm, angle = 51°. Give your answer to 2 decimal places
Answer: 338.06cm²
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4.
Ratio
a:b is 4:3 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 20:15:9
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5.
Statistics
Find the mean, median and range of: 20, 96, 92, 39, 23, 50, 27, 59, 29. Give your answer to 2 decimal places
Answer: Mean = 48.33, Median = 39, Range = 76