Change pack
Capstone
Mar 14 - 20
25 questions
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1.
Number
Simplify: 2√75
Answer: 10√3
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2.
Algebra
Complete the square: x² - 7x + 6
Answer: (x - 7⁄2)² - 25⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 18cm, angle = 77°. Give your answer to 2 decimal places
Answer: 219.23cm²
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4.
Ratio
a:b is 7:6 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 21:18:16
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5.
Statistics
Find the mean, median and range of: 33, 28, 29, 83, 95, 54, 83, 13, 64. Give your answer to 2 decimal places
Answer: Mean = 53.56, Median = 54, Range = 82
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1.
Number
Simplify: √98
Answer: 7√2
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2.
Algebra
Complete the square: 5x² - 20x + 7
Answer: 5(x - 2)² - 13
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3.
Geometry
Find area of triangle: a = 12cm, b = 18cm, angle = 77°. Give your answer to 2 decimal places
Answer: 105.23cm²
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4.
Ratio
a:b is 8:9 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 40:45:27
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5.
Statistics
Find the mean, median and range of: 44, 12, 37, 31, 65, 55, 67, 97, 14. Give your answer to 2 decimal places
Answer: Mean = 46.89, Median = 44, Range = 85
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1.
Number
Simplify: √405
Answer: 9√5
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2.
Algebra
Complete the square: 3x² + 24x - 8
Answer: 3(x + 4)² - 56
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3.
Geometry
Find area of triangle: a = 26cm, b = 29cm, angle = 64°. Give your answer to 2 decimal places
Answer: 338.85cm²
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4.
Ratio
a:b is 9:2 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 81:18:16
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5.
Statistics
Find the mean, median and range of: 96, 38, 77, 72, 35, 76, 36, 79. Give your answer to 2 decimal places
Answer: Mean = 63.63, Median = 74, Range = 61
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1.
Number
Simplify: 5√75
Answer: 25√3
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2.
Algebra
Complete the square: x² - 11x - 3
Answer: (x - 11⁄2)² - 133⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 21cm, angle = 43°. Give your answer to 2 decimal places
Answer: 100.25cm²
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4.
Ratio
a:b is 8:7 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 24:21:14
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5.
Statistics
Find the mean, median and range of: 65, 25, 54, 72, 83, 81, 30. Give your answer to 2 decimal places
Answer: Mean = 58.57, Median = 65, Range = 58
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: 3x² + 12x - 8
Answer: 3(x + 2)² - 20
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3.
Geometry
Find area of triangle: a = 22cm, b = 30cm, angle = 70°. Give your answer to 2 decimal places
Answer: 310.cm²
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4.
Ratio
a:b is 3:5 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 12:20:45
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5.
Statistics
Find the mean, median and range of: 40, 60, 100, 79, 97, 11, 31, 86
Answer: Mean = 63, Median = 69.5, Range = 89