Change pack
Capstone
Jun 8 - 14
25 questions
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1.
Number
Simplify: √500
Answer: 10√5
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2.
Algebra
Complete the square: 2x² + 4x - 13
Answer: 2(x + 1)² - 15
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3.
Geometry
Find area of triangle: a = 29cm, b = 16cm, angle = 59°. Give your answer to 2 decimal places
Answer: 198.86cm²
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4.
Ratio
a:b is 6:7 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 54:63:35
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5.
Statistics
Find the mean, median and range of: 78, 72, 24, 50, 95, 77, 78, 51. Give your answer to 2 decimal places
Answer: Mean = 65.63, Median = 74.5, Range = 71
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1.
Number
Simplify: √360
Answer: 6√10
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2.
Algebra
Complete the square: 3x² - 36x - 4
Answer: 3(x - 6)² - 112
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3.
Geometry
Find area of triangle: a = 25cm, b = 26cm, angle = 57°. Give your answer to 2 decimal places
Answer: 272.57cm²
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4.
Ratio
a:b is 7:6 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 14:12:21
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5.
Statistics
Find the mean, median and range of: 75, 26, 32, 81, 70, 72, 29, 63, 40. Give your answer to 2 decimal places
Answer: Mean = 54.22, Median = 63, Range = 55
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1.
Number
Simplify: √304
Answer: 4√19
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2.
Algebra
Complete the square: x² - x + 5
Answer: (x - 1⁄2)² + 19⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 26cm, angle = 79°. Give your answer to 2 decimal places
Answer: 267.98cm²
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4.
Ratio
a:b is 3:7 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 24:56:49
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5.
Statistics
Find the mean, median and range of: 91, 50, 77, 50, 72, 79, 15, 29. Give your answer to 2 decimal places
Answer: Mean = 57.88, Median = 61, Range = 76
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1.
Number
Simplify: √125
Answer: 5√5
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2.
Algebra
Complete the square: x² - 7x + 10
Answer: (x - 7⁄2)² - 9⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 12cm, angle = 46°. Give your answer to 2 decimal places
Answer: 129.48cm²
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4.
Ratio
a:b is 7:9 and b:c is 6:7. Find a:b:c in its simplest form.
Answer: 14:18:21
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5.
Statistics
Find the mean, median and range of: 65, 61, 47, 57, 17, 60, 93. Give your answer to 2 decimal places
Answer: Mean = 57.14, Median = 60, Range = 76
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1.
Number
Simplify: √175
Answer: 5√7
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2.
Algebra
Complete the square: 2x² + 12x + 5
Answer: 2(x + 3)² - 13
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3.
Geometry
Find area of triangle: a = 15cm, b = 15cm, angle = 57°. Give your answer to 2 decimal places
Answer: 94.35cm²
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4.
Ratio
a:b is 1:9 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 4:36:63
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5.
Statistics
Find the mean, median and range of: 91, 85, 68, 10, 63, 97, 49, 71
Answer: Mean = 66.75, Median = 69.5, Range = 87