Change pack
Capstone
Jan 3 - 9
25 questions
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1.
Number
Simplify: √192
Answer: 8√3
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2.
Algebra
Complete the square: x² + 6x
Answer: (x + 3)² - 9
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3.
Geometry
Find area of triangle: a = 24cm, b = 19cm, angle = 42°
Answer: 152.6cm²
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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: 13, 99, 60, 46, 35, 45, 40, 30
Answer: Mean = 46, Median = 45, Range = 86
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1.
Number
Simplify: √147
Answer: 7√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 = 14cm, b = 22cm, angle = 59°
Answer: 132cm²
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4.
Ratio
a:b is 1:2 and b:c is 3:4. Find a:b:c.
Answer: 6:12:16
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5.
Statistics
Find the mean, median and range of: 80, 60, 29, 15, 15, 95, 43
Answer: Mean = 48.1, Median = 43, Range = 80
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1.
Number
Simplify: √242
Answer: 11√2
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2.
Algebra
Complete the square: x² + 3.8x
Answer: (x + 1.9)² - 3.61
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3.
Geometry
Find area of triangle: a = 25cm, b = 13cm, angle = 54°
Answer: 131.5cm²
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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: 67, 85, 15, 43, 94, 20, 88
Answer: Mean = 58.9, Median = 67, Range = 79
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1.
Number
Simplify: √320
Answer: 8√5
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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 = 17cm, b = 20cm, angle = 56°
Answer: 140.9cm²
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4.
Ratio
a:b is 1:2 and b:c is 1:2. Find a:b:c.
Answer: 2:4:8
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5.
Statistics
Find the mean, median and range of: 95, 84, 52, 97, 95, 16, 25, 28
Answer: Mean = 61.5, Median = 84, Range = 81
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1.
Number
Simplify: √363
Answer: 11√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 = 29cm, b = 28cm, angle = 40°
Answer: 261cm²
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4.
Ratio
a:b is 4:3 and b:c is 1:2. Find a:b:c.
Answer: 8:6:12
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5.
Statistics
Find the mean, median and range of: 39, 77, 19, 71, 57, 83, 69, 77
Answer: Mean = 61.5, Median = 71, Range = 64