Change pack
Capstone
Jul 17 - 23
25 questions
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1.
Number
Simplify: 2√125
Answer: 10√5
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2.
Algebra
Complete the square: x² - 7x + 3
Answer: (x - 7⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 26cm, angle = 46°. Give your answer to 2 decimal places
Answer: 205.73cm²
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4.
Ratio
a:b is 5:2 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 25:10:2
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5.
Statistics
Find the mean, median and range of: 43, 28, 91, 86, 12, 56, 75. Give your answer to 2 decimal places
Answer: Mean = 55.86, Median = 56, Range = 79
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1.
Number
Simplify: 2√80
Answer: 8√5
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2.
Algebra
Complete the square: 4x² + 16x - 9
Answer: 4(x + 2)² - 25
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3.
Geometry
Find area of triangle: a = 22cm, b = 17cm, angle = 59°. Give your answer to 2 decimal places
Answer: 160.29cm²
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4.
Ratio
a:b is 8:3 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 56:21:27
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5.
Statistics
Find the mean, median and range of: 98, 45, 65, 54, 66, 48, 73, 11
Answer: Mean = 57.5, Median = 59.5, Range = 87
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1.
Number
Simplify: √325
Answer: 5√13
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2.
Algebra
Complete the square: 5x² + 10x - 12
Answer: 5(x + 1)² - 17
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3.
Geometry
Find area of triangle: a = 18cm, b = 27cm, angle = 49°. Give your answer to 2 decimal places
Answer: 183.39cm²
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4.
Ratio
a:b is 1:4 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 5:20:12
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5.
Statistics
Find the mean, median and range of: 58, 67, 50, 19, 77, 95, 84, 16, 28. Give your answer to 2 decimal places
Answer: Mean = 54.89, Median = 58, Range = 79
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1.
Number
Simplify: 5√63
Answer: 15√7
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2.
Algebra
Complete the square: 2x² + 4x - 6
Answer: 2(x + 1)² - 8
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3.
Geometry
Find area of triangle: a = 28cm, b = 30cm, angle = 41°. Give your answer to 2 decimal places
Answer: 275.54cm²
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4.
Ratio
a:b is 1:8 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 7:56:40
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5.
Statistics
Find the mean, median and range of: 22, 66, 93, 89, 17, 33, 88, 30
Answer: Mean = 54.75, Median = 49.5, Range = 76
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1.
Number
Simplify: √550
Answer: 5√22
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2.
Algebra
Complete the square: 5x² - 40x + 8
Answer: 5(x - 4)² - 72
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3.
Geometry
Find area of triangle: a = 16cm, b = 14cm, angle = 57°. Give your answer to 2 decimal places
Answer: 93.93cm²
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4.
Ratio
a:b is 3:8 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 9:24:4
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5.
Statistics
Find the mean, median and range of: 68, 96, 40, 46, 64, 68, 66, 42
Answer: Mean = 61.25, Median = 65, Range = 56