Change pack
Capstone
May 28 - Jun 3
25 questions
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1.
Number
Simplify: √500
Answer: 10√5
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2.
Algebra
Complete the square: 2x² - 4x - 9
Answer: 2(x - 1)² - 11
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3.
Geometry
Find area of triangle: a = 23cm, b = 19cm, angle = 66°. Give your answer to 2 decimal places
Answer: 199.61cm²
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4.
Ratio
a:b is 8:3 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 32:12:9
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5.
Statistics
Find the mean, median and range of: 72, 53, 94, 49, 48, 86, 17. Give your answer to 2 decimal places
Answer: Mean = 59.86, Median = 53, Range = 77
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1.
Number
Simplify: √343
Answer: 7√7
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2.
Algebra
Complete the square: 4x² + 24x - 4
Answer: 4(x + 3)² - 40
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3.
Geometry
Find area of triangle: a = 23cm, b = 26cm, angle = 73°. Give your answer to 2 decimal places
Answer: 285.94cm²
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4.
Ratio
a:b is 4:9 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 28:63:18
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5.
Statistics
Find the mean, median and range of: 41, 55, 37, 75, 20, 70, 68, 88, 91. Give your answer to 2 decimal places
Answer: Mean = 60.56, Median = 68, Range = 71
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1.
Number
Simplify: √605
Answer: 11√5
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2.
Algebra
Complete the square: 3x² + 12x + 3
Answer: 3(x + 2)² - 9
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3.
Geometry
Find area of triangle: a = 25cm, b = 21cm, angle = 71°. Give your answer to 2 decimal places
Answer: 248.2cm²
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4.
Ratio
a:b is 1:2 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 7:14:18
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5.
Statistics
Find the mean, median and range of: 18, 32, 71, 26, 35, 53, 82. Give your answer to 2 decimal places
Answer: Mean = 45.29, Median = 35, Range = 64
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1.
Number
Simplify: √304
Answer: 4√19
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2.
Algebra
Complete the square: 4x² - 40x - 10
Answer: 4(x - 5)² - 110
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3.
Geometry
Find area of triangle: a = 15cm, b = 12cm, angle = 72°. Give your answer to 2 decimal places
Answer: 85.6cm²
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4.
Ratio
a:b is 8:9 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 16:18:45
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5.
Statistics
Find the mean, median and range of: 11, 75, 57, 19, 87, 52, 60, 73
Answer: Mean = 54.25, Median = 58.5, Range = 76
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1.
Number
Simplify: 2√175
Answer: 10√7
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2.
Algebra
Complete the square: 3x² + 36x + 12
Answer: 3(x + 6)² - 96
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3.
Geometry
Find area of triangle: a = 24cm, b = 16cm, angle = 72°. Give your answer to 2 decimal places
Answer: 182.6cm²
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4.
Ratio
a:b is 1:6 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 2:12:15
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5.
Statistics
Find the mean, median and range of: 50, 78, 70, 29, 20, 41, 70, 44, 68. Give your answer to 2 decimal places
Answer: Mean = 52.22, Median = 50, Range = 58