Change pack
Capstone
Jan 18 - 24
25 questions
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1.
Number
Simplify: √192
Answer: 8√3
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2.
Algebra
Complete the square: x² + 3x
Answer: (x + 1.5)² - 2.25
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3.
Geometry
Find area of triangle: a = 14cm, b = 13cm, angle = 41°
Answer: 59.7cm²
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4.
Ratio
a:b is 2:3 and b:c is 4:3. Find a:b:c.
Answer: 8:12:9
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5.
Statistics
Find the mean, median and range of: 60, 45, 46, 53, 72, 65, 40, 97
Answer: Mean = 59.8, Median = 60, Range = 57
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1.
Number
Simplify: √147
Answer: 7√3
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2.
Algebra
Complete the square: x² + 5.8x
Answer: (x + 2.9)² - 8.41
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3.
Geometry
Find area of triangle: a = 12cm, b = 30cm, angle = 54°
Answer: 145.6cm²
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4.
Ratio
a:b is 4:3 and b:c is 1:2. Find a:b:c.
Answer: 4:3:6
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5.
Statistics
Find the mean, median and range of: 70, 19, 22, 13, 52, 71, 86, 74
Answer: Mean = 50.9, Median = 70, Range = 73
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1.
Number
Simplify: √200
Answer: 10√2
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2.
Algebra
Complete the square: x² + 4x
Answer: (x + 2)² - 4
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3.
Geometry
Find area of triangle: a = 20cm, b = 30cm, angle = 66°
Answer: 274.cm²
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4.
Ratio
a:b is 2:1 and b:c is 2:5. Find a:b:c.
Answer: 4:2:5
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5.
Statistics
Find the mean, median and range of: 64, 71, 57, 64, 60, 49, 64, 63
Answer: Mean = 61.5, Median = 64, Range = 22
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1.
Number
Simplify: √363
Answer: 11√3
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2.
Algebra
Complete the square: x² + 2.8x
Answer: (x + 1.4)² - 1.96
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3.
Geometry
Find area of triangle: a = 24cm, b = 12cm, angle = 57°
Answer: 120.8cm²
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4.
Ratio
a:b is 1:2 and b:c is 3:4. Find a:b:c.
Answer: 6:12:16
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5.
Statistics
Find the mean, median and range of: 48, 65, 19, 60, 63, 81, 69, 51, 69
Answer: Mean = 58.3, Median = 63, Range = 62
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1.
Number
Simplify: √128
Answer: 8√2
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2.
Algebra
Complete the square: x² + 3.8x
Answer: (x + 1.9)² - 3.61
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3.
Geometry
Find area of triangle: a = 28cm, b = 26cm, angle = 72°
Answer: 346.2cm²
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4.
Ratio
a:b is 3:2 and b:c is 2:3. Find a:b:c.
Answer: 6:4:6
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5.
Statistics
Find the mean, median and range of: 22, 85, 83, 31, 49, 95, 33, 13, 91
Answer: Mean = 55.8, Median = 49, Range = 82