Change pack
Capstone
Nov 29 - Dec 5
25 questions
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1.
Number
Simplify: 2√275
Answer: 10√11
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2.
Algebra
Complete the square: x² - 11x + 5
Answer: (x - 11⁄2)² - 101⁄4
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3.
Geometry
Find area of triangle: a = 19cm, b = 20cm, angle = 66°. Give your answer to 2 decimal places
Answer: 173.57cm²
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4.
Ratio
a:b is 7:3 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 49:21:15
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5.
Statistics
Find the mean, median and range of: 37, 57, 85, 51, 89, 42, 35, 99. Give your answer to 2 decimal places
Answer: Mean = 61.88, Median = 54, Range = 64
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1.
Number
Simplify: √162
Answer: 9√2
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2.
Algebra
Complete the square: 5x² - 10x + 2
Answer: 5(x - 1)² - 3
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3.
Geometry
Find area of triangle: a = 26cm, b = 17cm, angle = 59°. Give your answer to 2 decimal places
Answer: 189.43cm²
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4.
Ratio
a:b is 7:3 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 49:21:9
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5.
Statistics
Find the mean, median and range of: 56, 46, 23, 63, 63, 23, 25, 34. Give your answer to 2 decimal places
Answer: Mean = 41.63, Median = 40, Range = 40
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1.
Number
Simplify: √252
Answer: 6√7
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2.
Algebra
Complete the square: 5x² + 30x - 4
Answer: 5(x + 3)² - 49
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3.
Geometry
Find area of triangle: a = 21cm, b = 12cm, angle = 49°. Give your answer to 2 decimal places
Answer: 95.09cm²
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4.
Ratio
a:b is 5:9 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 25:45:9
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5.
Statistics
Find the mean, median and range of: 86, 93, 34, 17, 97, 21, 86
Answer: Mean = 62, Median = 86, Range = 80
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1.
Number
Simplify: √810
Answer: 9√10
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2.
Algebra
Complete the square: 5x² - 50x + 12
Answer: 5(x - 5)² - 113
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3.
Geometry
Find area of triangle: a = 28cm, b = 19cm, angle = 68°. Give your answer to 2 decimal places
Answer: 246.63cm²
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4.
Ratio
a:b is 5:4 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 15:12:32
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5.
Statistics
Find the mean, median and range of: 49, 47, 80, 99, 11, 55, 90, 27, 94. Give your answer to 2 decimal places
Answer: Mean = 61.33, Median = 55, Range = 88
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1.
Number
Simplify: √112
Answer: 4√7
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2.
Algebra
Complete the square: x² + 11x + 7
Answer: (x + 11⁄2)² - 93⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 21cm, angle = 77°. Give your answer to 2 decimal places
Answer: 286.46cm²
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4.
Ratio
a:b is 1:3 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 4:12:15
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5.
Statistics
Find the mean, median and range of: 87, 66, 46, 39, 61, 75, 97, 26, 70
Answer: Mean = 63, Median = 66, Range = 71