Change pack
Capstone
Sep 2 - 8
25 questions
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1.
Number
Simplify: √162
Answer: 9√2
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2.
Algebra
Complete the square: x² + 5.4x
Answer: (x + 2.7)² - 7.29
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3.
Geometry
Find area of triangle: a = 30cm, b = 18cm, angle = 75°
Answer: 260.8cm²
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4.
Ratio
a:b is 2:1 and b:c is 3:5. Find a:b:c.
Answer: 12:6:10
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5.
Statistics
Find the mean, median and range of: 60, 69, 63, 57, 67, 60, 18
Answer: Mean = 56.3, Median = 60, Range = 51
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1.
Number
Simplify: √147
Answer: 7√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 = 17cm, b = 15cm, angle = 52°
Answer: 100.5cm²
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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: 80, 16, 91, 77, 67, 32, 16, 25
Answer: Mean = 50.5, Median = 67, Range = 75
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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 = 25cm, b = 24cm, angle = 53°
Answer: 239.6cm²
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4.
Ratio
a:b is 4:3 and b:c is 2:3. Find a:b:c.
Answer: 8:6:9
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5.
Statistics
Find the mean, median and range of: 73, 15, 54, 98, 63, 14, 26, 15, 32
Answer: Mean = 43.3, Median = 32, Range = 84
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1.
Number
Simplify: √200
Answer: 10√2
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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 = 23cm, b = 14cm, angle = 66°
Answer: 147.cm²
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4.
Ratio
a:b is 3:4 and b:c is 1:2. Find a:b:c.
Answer: 9:12:24
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5.
Statistics
Find the mean, median and range of: 81, 17, 66, 23, 80, 60, 96, 70
Answer: Mean = 61.6, Median = 70, Range = 79
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1.
Number
Simplify: √108
Answer: 6√3
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2.
Algebra
Complete the square: x² + 3.2x
Answer: (x + 1.6)² - 2.56
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3.
Geometry
Find area of triangle: a = 15cm, b = 12cm, angle = 68°
Answer: 83.4cm²
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4.
Ratio
a:b is 2:3 and b:c is 2:5. Find a:b:c.
Answer: 4:6:15
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5.
Statistics
Find the mean, median and range of: 89, 60, 17, 80, 59, 59, 30, 52, 96
Answer: Mean = 60.2, Median = 59, Range = 79