Change pack
Capstone
Dec 30 - Jan 5
25 questions
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1.
Number
Simplify: √125
Answer: 5√5
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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 = 24cm, b = 17cm, angle = 59°
Answer: 174.9cm²
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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: 48, 31, 47, 85, 83, 99, 23, 48
Answer: Mean = 58, Median = 48, Range = 76
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1.
Number
Simplify: √162
Answer: 9√2
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2.
Algebra
Complete the square: x² + 4.2x
Answer: (x + 2.1)² - 4.41
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3.
Geometry
Find area of triangle: a = 23cm, b = 22cm, angle = 63°
Answer: 225.4cm²
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4.
Ratio
a:b is 2:1 and b:c is 3:4. Find a:b:c.
Answer: 12:6:8
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5.
Statistics
Find the mean, median and range of: 26, 32, 92, 44, 78, 32, 97, 28
Answer: Mean = 53.6, Median = 44, Range = 71
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1.
Number
Simplify: √320
Answer: 8√5
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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 = 24cm, b = 27cm, angle = 77°
Answer: 315.7cm²
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4.
Ratio
a:b is 2:1 and b:c is 4:3. Find a:b:c.
Answer: 8:4:3
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5.
Statistics
Find the mean, median and range of: 60, 80, 63, 17, 74, 44, 15, 14, 63
Answer: Mean = 47.8, Median = 60, Range = 66
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1.
Number
Simplify: √363
Answer: 11√3
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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 = 20cm, b = 28cm, angle = 72°
Answer: 266.3cm²
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4.
Ratio
a:b is 4:3 and b:c is 2:3. Find a:b:c.
Answer: 16:12:18
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5.
Statistics
Find the mean, median and range of: 15, 76, 92, 91, 73, 80, 31, 91
Answer: Mean = 68.6, Median = 80, Range = 77
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1.
Number
Simplify: √242
Answer: 11√2
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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 = 21cm, b = 24cm, angle = 75°
Answer: 243.4cm²
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4.
Ratio
a:b is 1:2 and b:c is 4:5. Find a:b:c.
Answer: 2:4:5
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5.
Statistics
Find the mean, median and range of: 28, 75, 98, 62, 25, 47, 14, 15
Answer: Mean = 45.5, Median = 47, Range = 84