Change pack
Capstone
Oct 10 - 16
25 questions
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1.
Number
Simplify: √200
Answer: 10√2
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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 = 23cm, b = 17cm, angle = 78°
Answer: 191.2cm²
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4.
Ratio
a:b is 2:3 and b:c is 1:2. Find a:b:c.
Answer: 4:6:12
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5.
Statistics
Find the mean, median and range of: 94, 42, 77, 94, 73, 65, 72, 13
Answer: Mean = 66.3, Median = 73, Range = 81
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1.
Number
Simplify: √288
Answer: 12√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 = 13cm, b = 14cm, angle = 49°
Answer: 68.7cm²
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4.
Ratio
a:b is 1:2 and b:c is 1:2. Find a:b:c.
Answer: 6:12:24
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5.
Statistics
Find the mean, median and range of: 95, 29, 90, 92, 32, 56, 81
Answer: Mean = 67.9, Median = 81, Range = 66
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1.
Number
Simplify: √125
Answer: 5√5
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2.
Algebra
Complete the square: x² + 3.6x
Answer: (x + 1.8)² - 3.24
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3.
Geometry
Find area of triangle: a = 16cm, b = 22cm, angle = 53°
Answer: 140.6cm²
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4.
Ratio
a:b is 3:4 and b:c is 1:3. Find a:b:c.
Answer: 3:4:12
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5.
Statistics
Find the mean, median and range of: 44, 82, 60, 100, 25, 31, 60, 99, 54
Answer: Mean = 61.7, Median = 60, Range = 75
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1.
Number
Simplify: √162
Answer: 9√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 = 13cm, b = 29cm, angle = 52°
Answer: 148.5cm²
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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: 47, 49, 26, 44, 38, 57, 74, 45
Answer: Mean = 47.5, Median = 47, Range = 48
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1.
Number
Simplify: √243
Answer: 9√3
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2.
Algebra
Complete the square: x² + 4.4x
Answer: (x + 2.2)² - 4.84
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3.
Geometry
Find area of triangle: a = 24cm, b = 13cm, angle = 75°
Answer: 150.7cm²
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4.
Ratio
a:b is 3:2 and b:c is 4:5. Find a:b:c.
Answer: 6:4:5
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5.
Statistics
Find the mean, median and range of: 77, 81, 95, 89, 66, 83, 52
Answer: Mean = 77.6, Median = 81, Range = 43