Change pack
Capstone
Mar 4 - 10
25 questions
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1.
Number
Simplify: √75
Answer: 5√3
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2.
Algebra
Complete the square: 2x² - 12x
Answer: 2(x - 3)² - 18
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3.
Geometry
Find area of triangle: a = 14cm, b = 27cm, angle = 67°. Give your answer to 2 decimal places
Answer: 173.98cm²
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4.
Ratio
a:b is 2:7 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 10:35:28
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5.
Statistics
Find the mean, median and range of: 66, 45, 86, 74, 25, 75, 80. Give your answer to 2 decimal places
Answer: Mean = 64.43, Median = 74, Range = 61
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1.
Number
Simplify: √150
Answer: 5√6
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2.
Algebra
Complete the square: x² + 3x + 5
Answer: (x + 3⁄2)² + 11⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 22cm, angle = 77°. Give your answer to 2 decimal places
Answer: 214.36cm²
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4.
Ratio
a:b is 4:7 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 12:21:14
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5.
Statistics
Find the mean, median and range of: 59, 31, 66, 25, 58, 50, 42. Give your answer to 2 decimal places
Answer: Mean = 47.29, Median = 50, Range = 41
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1.
Number
Simplify: √847
Answer: 11√7
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2.
Algebra
Complete the square: x² - 11x + 6
Answer: (x - 11⁄2)² - 97⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 14cm, angle = 66°. Give your answer to 2 decimal places
Answer: 159.87cm²
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4.
Ratio
a:b is 5:7 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 15:21:14
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5.
Statistics
Find the mean, median and range of: 41, 34, 96, 78, 17, 13, 15, 90
Answer: Mean = 48, Median = 37.5, Range = 83
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1.
Number
Simplify: √735
Answer: 7√15
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2.
Algebra
Complete the square: 5x² - 40x + 11
Answer: 5(x - 4)² - 69
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3.
Geometry
Find area of triangle: a = 17cm, b = 18cm, angle = 72°. Give your answer to 2 decimal places
Answer: 145.51cm²
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4.
Ratio
a:b is 1:2 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 9:18:16
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5.
Statistics
Find the mean, median and range of: 93, 57, 74, 52, 42, 35, 20, 14, 66. Give your answer to 2 decimal places
Answer: Mean = 50.33, Median = 52, Range = 79
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1.
Number
Simplify: √162
Answer: 9√2
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2.
Algebra
Complete the square: x² + 3x + 12
Answer: (x + 3⁄2)² + 39⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 13cm, angle = 56°. Give your answer to 2 decimal places
Answer: 91.61cm²
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4.
Ratio
a:b is 7:2 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 63:18:10
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5.
Statistics
Find the mean, median and range of: 60, 19, 18, 24, 10, 54, 28, 18. Give your answer to 2 decimal places
Answer: Mean = 28.88, Median = 21.5, Range = 50