Change pack
Capstone
Feb 17 - 23
25 questions
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1.
Number
Simplify: √208
Answer: 4√13
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2.
Algebra
Complete the square: 3x² + 6x - 10
Answer: 3(x + 1)² - 13
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3.
Geometry
Find area of triangle: a = 17cm, b = 26cm, angle = 45°. Give your answer to 2 decimal places
Answer: 156.27cm²
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4.
Ratio
a:b is 7:6 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 14:12:3
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5.
Statistics
Find the mean, median and range of: 74, 13, 27, 98, 67, 64, 41, 90, 39
Answer: Mean = 57, Median = 64, Range = 85
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1.
Number
Simplify: √243
Answer: 9√3
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2.
Algebra
Complete the square: x² - 5x + 9
Answer: (x - 5⁄2)² + 11⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 27cm, angle = 72°. Give your answer to 2 decimal places
Answer: 269.62cm²
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4.
Ratio
a:b is 3:8 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 15:40:56
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5.
Statistics
Find the mean, median and range of: 83, 84, 23, 17, 76, 97, 54, 62, 30. Give your answer to 2 decimal places
Answer: Mean = 58.44, Median = 62, Range = 80
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1.
Number
Simplify: √539
Answer: 7√11
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2.
Algebra
Complete the square: 4x² + 32x - 11
Answer: 4(x + 4)² - 75
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3.
Geometry
Find area of triangle: a = 22cm, b = 22cm, angle = 71°. Give your answer to 2 decimal places
Answer: 228.82cm²
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4.
Ratio
a:b is 2:9 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 10:45:54
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5.
Statistics
Find the mean, median and range of: 56, 95, 98, 40, 41, 66, 41, 81, 15. Give your answer to 2 decimal places
Answer: Mean = 59.22, Median = 56, Range = 83
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1.
Number
Simplify: √32
Answer: 4√2
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2.
Algebra
Complete the square: 4x² - 16x - 15
Answer: 4(x - 2)² - 31
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3.
Geometry
Find area of triangle: a = 23cm, b = 15cm, angle = 74°. Give your answer to 2 decimal places
Answer: 165.82cm²
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4.
Ratio
a:b is 4:7 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 8:14:35
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5.
Statistics
Find the mean, median and range of: 19, 82, 48, 70, 32, 90, 36, 43, 99. Give your answer to 2 decimal places
Answer: Mean = 57.67, Median = 48, Range = 80
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1.
Number
Simplify: √252
Answer: 6√7
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2.
Algebra
Complete the square: x² - 11x + 1
Answer: (x - 11⁄2)² - 117⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 19cm, angle = 47°. Give your answer to 2 decimal places
Answer: 159.8cm²
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4.
Ratio
a:b is 7:8 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 21:24:64
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5.
Statistics
Find the mean, median and range of: 47, 71, 40, 37, 10, 71, 15, 41, 56. Give your answer to 2 decimal places
Answer: Mean = 43.11, Median = 41, Range = 61