Change pack
Capstone
Jun 27 - Jul 3
25 questions
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1.
Number
Simplify: √96
Answer: 4√6
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2.
Algebra
Complete the square: x² - 7x + 4
Answer: (x - 7⁄2)² - 33⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 16cm, angle = 54°. Give your answer to 2 decimal places
Answer: 142.39cm²
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4.
Ratio
a:b is 1:9 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 4:36:45
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5.
Statistics
Find the mean, median and range of: 78, 79, 70, 39, 30, 15, 66. Give your answer to 2 decimal places
Answer: Mean = 53.86, Median = 66, Range = 64
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1.
Number
Simplify: 5√18
Answer: 15√2
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2.
Algebra
Complete the square: x² + x + 10
Answer: (x + 1⁄2)² + 39⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 18cm, angle = 56°. Give your answer to 2 decimal places
Answer: 111.92cm²
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4.
Ratio
a:b is 7:8 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 63:72:56
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5.
Statistics
Find the mean, median and range of: 85, 11, 96, 92, 46, 57, 100. Give your answer to 2 decimal places
Answer: Mean = 69.57, Median = 85, Range = 89
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1.
Number
Simplify: √128
Answer: 8√2
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2.
Algebra
Complete the square: 4x² - 24x + 14
Answer: 4(x - 3)² - 22
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3.
Geometry
Find area of triangle: a = 28cm, b = 22cm, angle = 76°. Give your answer to 2 decimal places
Answer: 298.85cm²
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4.
Ratio
a:b is 7:6 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 35:30:54
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5.
Statistics
Find the mean, median and range of: 94, 93, 61, 85, 20, 53, 15, 55, 73
Answer: Mean = 61, Median = 61, Range = 79
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1.
Number
Simplify: √343
Answer: 7√7
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2.
Algebra
Complete the square: x² + 5x + 4
Answer: (x + 5⁄2)² - 9⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 24cm, angle = 77°. Give your answer to 2 decimal places
Answer: 152cm²
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4.
Ratio
a:b is 2:5 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 12:30:25
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5.
Statistics
Find the mean, median and range of: 25, 71, 78, 77, 63, 62, 44, 21. Give your answer to 2 decimal places
Answer: Mean = 55.13, Median = 62.5, Range = 57
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1.
Number
Simplify: √605
Answer: 11√5
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2.
Algebra
Complete the square: x² + 9x + 9
Answer: (x + 9⁄2)² - 45⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 26cm, angle = 64°. Give your answer to 2 decimal places
Answer: 292.11cm²
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4.
Ratio
a:b is 4:9 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 8:18:63
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5.
Statistics
Find the mean, median and range of: 54, 54, 59, 100, 50, 73, 69, 94, 36. Give your answer to 2 decimal places
Answer: Mean = 65.44, Median = 59, Range = 64