Change pack
Capstone
Nov 2 - 8
25 questions
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1.
Number
Simplify: √612
Answer: 6√17
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2.
Algebra
Complete the square: x² - 5x + 11
Answer: (x - 5⁄2)² + 19⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 16cm, angle = 74°. Give your answer to 2 decimal places
Answer: 192.25cm²
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4.
Ratio
a:b is 7:5 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 56:40:25
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5.
Statistics
Find the mean, median and range of: 88, 23, 43, 72, 97, 67, 65, 77
Answer: Mean = 66.5, Median = 69.5, Range = 74
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1.
Number
Simplify: √525
Answer: 5√21
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2.
Algebra
Complete the square: 3x² + 18x - 5
Answer: 3(x + 3)² - 32
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3.
Geometry
Find area of triangle: a = 20cm, b = 22cm, angle = 57°. Give your answer to 2 decimal places
Answer: 184.51cm²
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4.
Ratio
a:b is 2:9 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 4:18:15
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5.
Statistics
Find the mean, median and range of: 96, 15, 54, 36, 44, 97, 62, 84, 93. Give your answer to 2 decimal places
Answer: Mean = 64.56, Median = 62, Range = 82
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1.
Number
Simplify: √175
Answer: 5√7
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2.
Algebra
Complete the square: x² - 11x - 8
Answer: (x - 11⁄2)² - 153⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 21cm, angle = 60°. Give your answer to 2 decimal places
Answer: 245.52cm²
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4.
Ratio
a:b is 8:9 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 40:45:27
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5.
Statistics
Find the mean, median and range of: 29, 46, 56, 75, 94, 83, 18, 19, 40. Give your answer to 2 decimal places
Answer: Mean = 51.11, Median = 46, Range = 76
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1.
Number
Simplify: √112
Answer: 4√7
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2.
Algebra
Complete the square: 3x² - 6x - 9
Answer: 3(x - 1)² - 12
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3.
Geometry
Find area of triangle: a = 24cm, b = 29cm, angle = 59°. Give your answer to 2 decimal places
Answer: 298.29cm²
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4.
Ratio
a:b is 1:7 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 9:63:49
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5.
Statistics
Find the mean, median and range of: 80, 77, 60, 96, 35, 97, 12, 45
Answer: Mean = 62.75, Median = 68.5, Range = 85
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1.
Number
Simplify: √425
Answer: 5√17
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2.
Algebra
Complete the square: x² - 7x - 9
Answer: (x - 7⁄2)² - 85⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 30cm, angle = 48°. Give your answer to 2 decimal places
Answer: 189.5cm²
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4.
Ratio
a:b is 3:7 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 24:56:7
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5.
Statistics
Find the mean, median and range of: 97, 31, 31, 10, 33, 92, 46, 14
Answer: Mean = 44.25, Median = 32, Range = 87