Change pack
Capstone
Apr 13 - 19
25 questions
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1.
Number
Simplify: √147
Answer: 7√3
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2.
Algebra
Complete the square: 5x² + 30x + 6
Answer: 5(x + 3)² - 39
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3.
Geometry
Find area of triangle: a = 29cm, b = 29cm, angle = 52°. Give your answer to 2 decimal places
Answer: 331.36cm²
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4.
Ratio
a:b is 7:6 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 49:42:24
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5.
Statistics
Find the mean, median and range of: 31, 58, 39, 62, 28, 90, 36. Give your answer to 2 decimal places
Answer: Mean = 49.14, Median = 39, Range = 62
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1.
Number
Simplify: √425
Answer: 5√17
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2.
Algebra
Complete the square: 5x² + 10x - 7
Answer: 5(x + 1)² - 12
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3.
Geometry
Find area of triangle: a = 27cm, b = 28cm, angle = 42°. Give your answer to 2 decimal places
Answer: 252.93cm²
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4.
Ratio
a:b is 9:5 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 63:35:25
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5.
Statistics
Find the mean, median and range of: 56, 18, 26, 29, 35, 86, 16, 21. Give your answer to 2 decimal places
Answer: Mean = 35.88, Median = 27.5, Range = 70
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1.
Number
Simplify: 3√96
Answer: 12√6
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2.
Algebra
Complete the square: x² + x - 10
Answer: (x + 1⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 30cm, angle = 74°. Give your answer to 2 decimal places
Answer: 374.89cm²
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4.
Ratio
a:b is 1:2 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 3:6:16
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5.
Statistics
Find the mean, median and range of: 83, 75, 41, 77, 64, 28, 10, 92, 33. Give your answer to 2 decimal places
Answer: Mean = 55.89, Median = 64, Range = 82
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1.
Number
Simplify: 4√96
Answer: 16√6
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2.
Algebra
Complete the square: x² + 7x + 11
Answer: (x + 7⁄2)² - 5⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 15cm, angle = 64°. Give your answer to 2 decimal places
Answer: 101.11cm²
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4.
Ratio
a:b is 4:9 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 28:63:36
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5.
Statistics
Find the mean, median and range of: 84, 22, 88, 17, 90, 36, 77. Give your answer to 2 decimal places
Answer: Mean = 59.14, Median = 77, Range = 73
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1.
Number
Simplify: 3√44
Answer: 6√11
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2.
Algebra
Complete the square: x² - 9x - 11
Answer: (x - 9⁄2)² - 125⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 15cm, angle = 61°. Give your answer to 2 decimal places
Answer: 118.07cm²
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4.
Ratio
a:b is 7:9 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 28:36:45
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5.
Statistics
Find the mean, median and range of: 87, 38, 76, 41, 18, 48, 11, 77
Answer: Mean = 49.5, Median = 44.5, Range = 76