Change pack
Capstone
Jul 27 - Aug 2
25 questions
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1.
Number
Simplify: √550
Answer: 5√22
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2.
Algebra
Complete the square: 5x² + 30x
Answer: 5(x + 3)² - 45
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3.
Geometry
Find area of triangle: a = 29cm, b = 27cm, angle = 46°. Give your answer to 2 decimal places
Answer: 281.62cm²
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4.
Ratio
a:b is 2:7 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 6:21:49
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5.
Statistics
Find the mean, median and range of: 50, 31, 95, 56, 22, 95, 32. Give your answer to 2 decimal places
Answer: Mean = 54.43, Median = 50, Range = 73
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1.
Number
Simplify: 4√28
Answer: 8√7
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2.
Algebra
Complete the square: x² - x - 2
Answer: (x - 1⁄2)² - 9⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 20cm, angle = 56°. Give your answer to 2 decimal places
Answer: 248.71cm²
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4.
Ratio
a:b is 3:7 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 15:35:28
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5.
Statistics
Find the mean, median and range of: 51, 79, 12, 76, 100, 37, 41, 15, 77. Give your answer to 2 decimal places
Answer: Mean = 54.22, Median = 51, Range = 88
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1.
Number
Simplify: 2√275
Answer: 10√11
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2.
Algebra
Complete the square: 2x² - 12x - 13
Answer: 2(x - 3)² - 31
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3.
Geometry
Find area of triangle: a = 12cm, b = 19cm, angle = 62°. Give your answer to 2 decimal places
Answer: 100.66cm²
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4.
Ratio
a:b is 1:7 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 2:14:35
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5.
Statistics
Find the mean, median and range of: 91, 75, 74, 66, 100, 12, 84, 65, 98. Give your answer to 2 decimal places
Answer: Mean = 73.89, Median = 75, Range = 88
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1.
Number
Simplify: √896
Answer: 8√14
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2.
Algebra
Complete the square: 4x² - 40x + 11
Answer: 4(x - 5)² - 89
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3.
Geometry
Find area of triangle: a = 19cm, b = 28cm, angle = 55°. Give your answer to 2 decimal places
Answer: 217.89cm²
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4.
Ratio
a:b is 5:7 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 20:28:7
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5.
Statistics
Find the mean, median and range of: 19, 42, 71, 76, 31, 96, 87, 46, 70. Give your answer to 2 decimal places
Answer: Mean = 59.78, Median = 70, Range = 77
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1.
Number
Simplify: √504
Answer: 6√14
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2.
Algebra
Complete the square: 2x² - 4x - 8
Answer: 2(x - 1)² - 10
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3.
Geometry
Find area of triangle: a = 13cm, b = 21cm, angle = 56°. Give your answer to 2 decimal places
Answer: 113.16cm²
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4.
Ratio
a:b is 3:8 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 15:40:48
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5.
Statistics
Find the mean, median and range of: 81, 23, 93, 23, 94, 88, 21, 53, 58. Give your answer to 2 decimal places
Answer: Mean = 59.33, Median = 58, Range = 73