Change pack
Capstone
Apr 26 - May 2
25 questions
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1.
Number
Simplify: √200
Answer: 10√2
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2.
Algebra
Complete the square: 5x² + 60x - 7
Answer: 5(x + 6)² - 187
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3.
Geometry
Find area of triangle: a = 20cm, b = 15cm, angle = 71°. Give your answer to 2 decimal places
Answer: 141.83cm²
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4.
Ratio
a:b is 2:5 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 16:40:25
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5.
Statistics
Find the mean, median and range of: 73, 66, 68, 57, 34, 26, 82, 71. Give your answer to 2 decimal places
Answer: Mean = 59.63, Median = 67, Range = 56
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1.
Number
Simplify: √384
Answer: 8√6
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2.
Algebra
Complete the square: x² + 5x - 1
Answer: (x + 5⁄2)² - 29⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 22cm, angle = 70°. Give your answer to 2 decimal places
Answer: 206.73cm²
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4.
Ratio
a:b is 4:9 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 20:45:81
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5.
Statistics
Find the mean, median and range of: 64, 55, 83, 46, 85, 47, 68, 51. Give your answer to 2 decimal places
Answer: Mean = 62.38, Median = 59.5, Range = 39
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1.
Number
Simplify: √32
Answer: 4√2
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2.
Algebra
Complete the square: x² + 5x - 4
Answer: (x + 5⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 20cm, angle = 57°. Give your answer to 2 decimal places
Answer: 117.41cm²
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4.
Ratio
a:b is 9:5 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 18:10:25
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5.
Statistics
Find the mean, median and range of: 20, 80, 41, 42, 92, 68, 98, 11
Answer: Mean = 56.5, Median = 55, Range = 87
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1.
Number
Simplify: √567
Answer: 9√7
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2.
Algebra
Complete the square: x² - 9x + 5
Answer: (x - 9⁄2)² - 61⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 23cm, angle = 77°. Give your answer to 2 decimal places
Answer: 291.34cm²
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4.
Ratio
a:b is 4:7 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 20:35:14
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5.
Statistics
Find the mean, median and range of: 100, 85, 67, 91, 79, 93, 44. Give your answer to 2 decimal places
Answer: Mean = 79.86, Median = 85, Range = 56
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1.
Number
Simplify: √48
Answer: 4√3
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2.
Algebra
Complete the square: 3x² + 18x + 12
Answer: 3(x + 3)² - 15
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3.
Geometry
Find area of triangle: a = 17cm, b = 14cm, angle = 67°. Give your answer to 2 decimal places
Answer: 109.54cm²
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4.
Ratio
a:b is 6:5 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 48:40:25
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5.
Statistics
Find the mean, median and range of: 65, 30, 79, 86, 38, 58, 80. Give your answer to 2 decimal places
Answer: Mean = 62.29, Median = 65, Range = 56