Change pack
Capstone
May 24 - 30
25 questions
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1.
Number
Simplify: √243
Answer: 9√3
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2.
Algebra
Complete the square: x² + 2.2x
Answer: (x + 1.1)² - 1.21
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3.
Geometry
Find area of triangle: a = 24cm, b = 21cm, angle = 52°
Answer: 198.6cm²
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4.
Ratio
a:b is 1:2 and b:c is 2:5. Find a:b:c.
Answer: 2:4:10
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5.
Statistics
Find the mean, median and range of: 19, 90, 85, 26, 25, 27, 33
Answer: Mean = 43.6, Median = 27, Range = 71
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1.
Number
Simplify: √128
Answer: 8√2
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2.
Algebra
Complete the square: x² + 5.2x
Answer: (x + 2.6)² - 6.76
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3.
Geometry
Find area of triangle: a = 17cm, b = 17cm, angle = 51°
Answer: 112.3cm²
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4.
Ratio
a:b is 3:2 and b:c is 2:5. Find a:b:c.
Answer: 3:2:5
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5.
Statistics
Find the mean, median and range of: 50, 75, 49, 49, 55, 75, 55
Answer: Mean = 58.3, Median = 55, Range = 26
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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 = 14cm, b = 15cm, angle = 46°
Answer: 75.5cm²
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4.
Ratio
a:b is 1:2 and b:c is 2:3. Find a:b:c.
Answer: 2:4:6
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5.
Statistics
Find the mean, median and range of: 88, 87, 12, 43, 18, 83, 67, 48, 78
Answer: Mean = 58.2, Median = 67, Range = 76
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1.
Number
Simplify: √75
Answer: 5√3
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2.
Algebra
Complete the square: x² + 2x
Answer: (x + 1)² - 1
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3.
Geometry
Find area of triangle: a = 19cm, b = 13cm, angle = 75°
Answer: 119.3cm²
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4.
Ratio
a:b is 3:4 and b:c is 2:5. Find a:b:c.
Answer: 3:4:10
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5.
Statistics
Find the mean, median and range of: 54, 93, 77, 34, 87, 37, 19, 90
Answer: Mean = 61.4, Median = 77, Range = 74
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1.
Number
Simplify: √108
Answer: 6√3
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2.
Algebra
Complete the square: x² + 2.4x
Answer: (x + 1.2)² - 1.44
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3.
Geometry
Find area of triangle: a = 21cm, b = 18cm, angle = 46°
Answer: 136cm²
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4.
Ratio
a:b is 3:4 and b:c is 3:4. Find a:b:c.
Answer: 9:12:16
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5.
Statistics
Find the mean, median and range of: 29, 47, 70, 66, 52, 95, 40, 63, 58
Answer: Mean = 57.8, Median = 58, Range = 66