Change pack
Capstone
May 16 - 22
25 questions
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1.
Number
Simplify: √200
Answer: 10√2
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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 = 28cm, b = 20cm, angle = 65°
Answer: 253.8cm²
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4.
Ratio
a:b is 3:4 and b:c is 3:5. Find a:b:c.
Answer: 9:12:20
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5.
Statistics
Find the mean, median and range of: 54, 25, 29, 20, 19, 24, 11, 24, 62
Answer: Mean = 29.8, Median = 24, Range = 51
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1.
Number
Simplify: √363
Answer: 11√3
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2.
Algebra
Complete the square: x² + 2.4x
Answer: (x + 1.2)² - 1.44
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3.
Geometry
Find area of triangle: a = 24cm, b = 17cm, angle = 75°
Answer: 197cm²
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4.
Ratio
a:b is 2:1 and b:c is 2:3. Find a:b:c.
Answer: 8:4:6
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5.
Statistics
Find the mean, median and range of: 48, 93, 84, 96, 20, 22, 85
Answer: Mean = 64, Median = 84, Range = 76
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1.
Number
Simplify: √98
Answer: 7√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 = 19cm, b = 21cm, angle = 48°
Answer: 148.3cm²
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4.
Ratio
a:b is 3:2 and b:c is 2:3. Find a:b:c.
Answer: 6:4:6
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5.
Statistics
Find the mean, median and range of: 76, 13, 15, 78, 15, 78, 36, 10
Answer: Mean = 40.1, Median = 36, Range = 68
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1.
Number
Simplify: √128
Answer: 8√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 = 18cm, b = 29cm, angle = 58°
Answer: 221.3cm²
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4.
Ratio
a:b is 4:3 and b:c is 1:3. Find a:b:c.
Answer: 8:6:18
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5.
Statistics
Find the mean, median and range of: 57, 48, 49, 30, 14, 11, 19, 56, 21
Answer: Mean = 33.9, Median = 30, Range = 46
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1.
Number
Simplify: √75
Answer: 5√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 = 17cm, b = 18cm, angle = 60°
Answer: 132.5cm²
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4.
Ratio
a:b is 2:1 and b:c is 1:2. Find a:b:c.
Answer: 12:6:12
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5.
Statistics
Find the mean, median and range of: 64, 46, 67, 49, 32, 48, 34, 75
Answer: Mean = 51.9, Median = 49, Range = 43