Change pack
Capstone
Dec 17 - 23
25 questions
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1.
Number
Simplify: √128
Answer: 8√2
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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 = 17cm, angle = 66°
Answer: 186.4cm²
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4.
Ratio
a:b is 3:4 and b:c is 4:5. Find a:b:c.
Answer: 3:4:5
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5.
Statistics
Find the mean, median and range of: 41, 51, 96, 23, 19, 36, 21, 89
Answer: Mean = 47, Median = 41, Range = 77
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1.
Number
Simplify: √242
Answer: 11√2
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2.
Algebra
Complete the square: x² + 4.8x
Answer: (x + 2.4)² - 5.76
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3.
Geometry
Find area of triangle: a = 29cm, b = 24cm, angle = 50°
Answer: 266.6cm²
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4.
Ratio
a:b is 3:4 and b:c is 2:3. Find a:b:c.
Answer: 3:4:6
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5.
Statistics
Find the mean, median and range of: 84, 45, 42, 57, 62, 74, 43, 74
Answer: Mean = 60.1, Median = 62, Range = 42
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1.
Number
Simplify: √243
Answer: 9√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 = 18cm, b = 27cm, angle = 61°
Answer: 212.5cm²
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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: 92, 75, 40, 21, 42, 31, 74, 59, 87
Answer: Mean = 57.9, Median = 59, Range = 71
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1.
Number
Simplify: √125
Answer: 5√5
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2.
Algebra
Complete the square: x² + 2.6x
Answer: (x + 1.3)² - 1.69
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3.
Geometry
Find area of triangle: a = 12cm, b = 13cm, angle = 69°
Answer: 72.8cm²
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4.
Ratio
a:b is 2:3 and b:c is 2:3. Find a:b:c.
Answer: 4:6:9
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5.
Statistics
Find the mean, median and range of: 61, 13, 13, 88, 52, 75, 10
Answer: Mean = 44.6, Median = 52, Range = 78
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1.
Number
Simplify: √108
Answer: 6√3
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2.
Algebra
Complete the square: x² + 5x
Answer: (x + 2.5)² - 6.25
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3.
Geometry
Find area of triangle: a = 20cm, b = 21cm, angle = 67°
Answer: 193.3cm²
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4.
Ratio
a:b is 3:2 and b:c is 1:3. Find a:b:c.
Answer: 3:2:6
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5.
Statistics
Find the mean, median and range of: 32, 47, 88, 58, 83, 54, 43, 29, 80
Answer: Mean = 57.1, Median = 54, Range = 59