Change pack
Capstone
Jun 29 - Jul 5
25 questions
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1.
Number
Simplify: 5√8
Answer: 10√2
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2.
Algebra
Complete the square: x² - 3x + 12
Answer: (x - 3⁄2)² + 39⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 12cm, angle = 60°. Give your answer to 2 decimal places
Answer: 145.49cm²
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4.
Ratio
a:b is 7:2 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 63:18:14
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5.
Statistics
Find the mean, median and range of: 76, 11, 89, 66, 60, 88, 60, 21, 94. Give your answer to 2 decimal places
Answer: Mean = 62.78, Median = 66, Range = 83
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1.
Number
Simplify: √432
Answer: 12√3
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2.
Algebra
Complete the square: 2x² - 8x + 15
Answer: 2(x - 2)² + 7
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3.
Geometry
Find area of triangle: a = 23cm, b = 29cm, angle = 72°. Give your answer to 2 decimal places
Answer: 317.18cm²
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4.
Ratio
a:b is 5:7 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 15:21:56
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5.
Statistics
Find the mean, median and range of: 97, 100, 47, 25, 37, 53, 60. Give your answer to 2 decimal places
Answer: Mean = 59.86, Median = 53, Range = 75
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1.
Number
Simplify: √640
Answer: 8√10
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2.
Algebra
Complete the square: 3x² - 30x - 6
Answer: 3(x - 5)² - 81
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3.
Geometry
Find area of triangle: a = 16cm, b = 27cm, angle = 63°. Give your answer to 2 decimal places
Answer: 192.46cm²
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4.
Ratio
a:b is 1:6 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 7:42:48
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5.
Statistics
Find the mean, median and range of: 82, 21, 66, 92, 88, 72, 62, 83
Answer: Mean = 70.75, Median = 77, Range = 71
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1.
Number
Simplify: 2√40
Answer: 4√10
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2.
Algebra
Complete the square: 4x² - 8x - 2
Answer: 4(x - 1)² - 6
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3.
Geometry
Find area of triangle: a = 30cm, b = 14cm, angle = 61°. Give your answer to 2 decimal places
Answer: 183.67cm²
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4.
Ratio
a:b is 9:7 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 27:21:14
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5.
Statistics
Find the mean, median and range of: 44, 74, 27, 46, 16, 60, 63, 95. Give your answer to 2 decimal places
Answer: Mean = 53.13, Median = 53, Range = 79
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1.
Number
Simplify: √275
Answer: 5√11
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2.
Algebra
Complete the square: x² + 5x - 2
Answer: (x + 5⁄2)² - 33⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 15cm, angle = 45°. Give your answer to 2 decimal places
Answer: 132.58cm²
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4.
Ratio
a:b is 3:2 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 27:18:8
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5.
Statistics
Find the mean, median and range of: 23, 64, 62, 26, 82, 30, 50, 21, 34. Give your answer to 2 decimal places
Answer: Mean = 43.56, Median = 34, Range = 61