Change pack
Capstone
Nov 16 - 22
25 questions
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1.
Number
Simplify: √50
Answer: 5√2
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2.
Algebra
Complete the square: 3x² - 24x - 12
Answer: 3(x - 4)² - 60
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3.
Geometry
Find area of triangle: a = 29cm, b = 16cm, angle = 42°. Give your answer to 2 decimal places
Answer: 155.24cm²
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4.
Ratio
a:b is 3:5 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 27:45:10
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5.
Statistics
Find the mean, median and range of: 55, 92, 64, 34, 85, 66, 77. Give your answer to 2 decimal places
Answer: Mean = 67.57, Median = 66, Range = 58
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1.
Number
Simplify: √600
Answer: 10√6
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2.
Algebra
Complete the square: 3x² + 30x + 5
Answer: 3(x + 5)² - 70
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3.
Geometry
Find area of triangle: a = 19cm, b = 19cm, angle = 40°. Give your answer to 2 decimal places
Answer: 116.02cm²
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4.
Ratio
a:b is 8:5 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 56:35:15
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5.
Statistics
Find the mean, median and range of: 29, 11, 57, 22, 77, 80, 41, 81
Answer: Mean = 49.75, Median = 49, Range = 70
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1.
Number
Simplify: √243
Answer: 9√3
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2.
Algebra
Complete the square: 4x² - 16x - 15
Answer: 4(x - 2)² - 31
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3.
Geometry
Find area of triangle: a = 19cm, b = 26cm, angle = 63°. Give your answer to 2 decimal places
Answer: 220.08cm²
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4.
Ratio
a:b is 8:5 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 56:35:10
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5.
Statistics
Find the mean, median and range of: 87, 46, 54, 61, 92, 26, 71, 63
Answer: Mean = 62.5, Median = 62, Range = 66
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1.
Number
Simplify: 3√40
Answer: 6√10
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2.
Algebra
Complete the square: x² + 5x - 9
Answer: (x + 5⁄2)² - 61⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 30cm, angle = 53°. Give your answer to 2 decimal places
Answer: 335.43cm²
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4.
Ratio
a:b is 8:7 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 16:14:7
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5.
Statistics
Find the mean, median and range of: 80, 25, 31, 56, 18, 20, 40, 81. Give your answer to 2 decimal places
Answer: Mean = 43.88, Median = 35.5, Range = 63
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1.
Number
Simplify: √525
Answer: 5√21
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2.
Algebra
Complete the square: 2x² - 12x - 9
Answer: 2(x - 3)² - 27
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3.
Geometry
Find area of triangle: a = 18cm, b = 14cm, angle = 53°. Give your answer to 2 decimal places
Answer: 100.63cm²
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4.
Ratio
a:b is 3:2 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 15:10:4
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5.
Statistics
Find the mean, median and range of: 96, 59, 92, 46, 83, 77, 38. Give your answer to 2 decimal places
Answer: Mean = 70.14, Median = 77, Range = 58