Change pack
Capstone
Jul 21 - 27
25 questions
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1.
Number
Simplify: √363
Answer: 11√3
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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 = 14cm, b = 12cm, angle = 47°
Answer: 61.4cm²
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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: 84, 62, 74, 74, 71, 85, 87, 93, 12
Answer: Mean = 71.3, Median = 74, Range = 81
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1.
Number
Simplify: √243
Answer: 9√3
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2.
Algebra
Complete the square: x² + 2.2x
Answer: (x + 1.1)² - 1.21
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3.
Geometry
Find area of triangle: a = 26cm, b = 29cm, angle = 50°
Answer: 288.8cm²
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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: 75, 30, 44, 26, 46, 39, 50
Answer: Mean = 44.3, Median = 44, Range = 49
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1.
Number
Simplify: √288
Answer: 12√2
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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 = 20cm, b = 29cm, angle = 46°
Answer: 208.6cm²
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4.
Ratio
a:b is 3:2 and b:c is 4:3. Find a:b:c.
Answer: 6:4:3
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5.
Statistics
Find the mean, median and range of: 99, 88, 46, 13, 24, 32, 47
Answer: Mean = 49.9, Median = 46, Range = 86
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1.
Number
Simplify: √242
Answer: 11√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 = 16cm, b = 24cm, angle = 40°
Answer: 123.4cm²
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4.
Ratio
a:b is 3:2 and b:c is 1:2. Find a:b:c.
Answer: 9:6:12
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5.
Statistics
Find the mean, median and range of: 54, 54, 52, 89, 92, 18, 70, 17
Answer: Mean = 55.8, Median = 54, Range = 75
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1.
Number
Simplify: √75
Answer: 5√3
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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 = 24cm, b = 29cm, angle = 49°
Answer: 262.6cm²
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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: 52, 54, 95, 64, 49, 69, 72, 38
Answer: Mean = 61.6, Median = 64, Range = 57