Change pack
Capstone
Oct 16 - 22
25 questions
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1.
Number
Simplify: 4√28
Answer: 8√7
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2.
Algebra
Complete the square: 5x² - 30x - 9
Answer: 5(x - 3)² - 54
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3.
Geometry
Find area of triangle: a = 27cm, b = 27cm, angle = 58°. Give your answer to 2 decimal places
Answer: 309.11cm²
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4.
Ratio
a:b is 5:6 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 15:18:8
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5.
Statistics
Find the mean, median and range of: 68, 73, 12, 72, 99, 52, 75, 86. Give your answer to 2 decimal places
Answer: Mean = 67.13, Median = 72.5, Range = 87
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1.
Number
Simplify: √50
Answer: 5√2
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2.
Algebra
Complete the square: x² + 3x + 2
Answer: (x + 3⁄2)² - 1⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 23cm, angle = 62°. Give your answer to 2 decimal places
Answer: 152.31cm²
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4.
Ratio
a:b is 1:8 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 7:56:48
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5.
Statistics
Find the mean, median and range of: 76, 30, 54, 56, 10, 90, 46, 75, 80. Give your answer to 2 decimal places
Answer: Mean = 57.44, Median = 56, Range = 80
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1.
Number
Simplify: 4√80
Answer: 16√5
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2.
Algebra
Complete the square: 3x² + 6x + 11
Answer: 3(x + 1)² + 8
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3.
Geometry
Find area of triangle: a = 29cm, b = 29cm, angle = 47°. Give your answer to 2 decimal places
Answer: 307.53cm²
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4.
Ratio
a:b is 9:5 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 81:45:20
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5.
Statistics
Find the mean, median and range of: 79, 51, 37, 66, 14, 83, 77, 79
Answer: Mean = 60.75, Median = 71.5, Range = 69
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1.
Number
Simplify: √375
Answer: 5√15
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2.
Algebra
Complete the square: x² - 9x - 8
Answer: (x - 9⁄2)² - 113⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 23cm, angle = 73°. Give your answer to 2 decimal places
Answer: 142.97cm²
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4.
Ratio
a:b is 1:8 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 5:40:64
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5.
Statistics
Find the mean, median and range of: 69, 99, 27, 60, 65, 79, 100, 56, 50. Give your answer to 2 decimal places
Answer: Mean = 67.22, Median = 65, Range = 73
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1.
Number
Simplify: √720
Answer: 12√5
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2.
Algebra
Complete the square: 2x² - 12x - 9
Answer: 2(x - 3)² - 27
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3.
Geometry
Find area of triangle: a = 16cm, b = 26cm, angle = 78°. Give your answer to 2 decimal places
Answer: 203.45cm²
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4.
Ratio
a:b is 1:5 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 7:35:20
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5.
Statistics
Find the mean, median and range of: 50, 64, 55, 76, 35, 83, 93. Give your answer to 2 decimal places
Answer: Mean = 65.14, Median = 64, Range = 58