Change pack
Capstone
Dec 8 - 14
25 questions
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1.
Number
Simplify: 4√99
Answer: 12√11
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2.
Algebra
Complete the square: x² - 3x - 1
Answer: (x - 3⁄2)² - 13⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 28cm, angle = 51°. Give your answer to 2 decimal places
Answer: 272cm²
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4.
Ratio
a:b is 8:7 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 40:35:7
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5.
Statistics
Find the mean, median and range of: 78, 33, 35, 61, 18, 68, 87, 54
Answer: Mean = 54.25, Median = 57.5, Range = 69
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1.
Number
Simplify: √160
Answer: 4√10
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2.
Algebra
Complete the square: x² + 7x + 9
Answer: (x + 7⁄2)² - 13⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 16cm, angle = 74°. Give your answer to 2 decimal places
Answer: 169.18cm²
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4.
Ratio
a:b is 9:2 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 45:10:12
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5.
Statistics
Find the mean, median and range of: 75, 43, 100, 57, 68, 10, 76, 94. Give your answer to 2 decimal places
Answer: Mean = 65.38, Median = 71.5, Range = 90
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1.
Number
Simplify: √75
Answer: 5√3
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2.
Algebra
Complete the square: x² + 9x - 10
Answer: (x + 9⁄2)² - 121⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 28cm, angle = 66°. Give your answer to 2 decimal places
Answer: 358.11cm²
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4.
Ratio
a:b is 7:4 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 49:28:8
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5.
Statistics
Find the mean, median and range of: 79, 74, 37, 51, 91, 78, 62, 62, 45. Give your answer to 2 decimal places
Answer: Mean = 64.33, Median = 62, Range = 54
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1.
Number
Simplify: 2√40
Answer: 4√10
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2.
Algebra
Complete the square: 5x² - 50x + 14
Answer: 5(x - 5)² - 111
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3.
Geometry
Find area of triangle: a = 28cm, b = 21cm, angle = 57°. Give your answer to 2 decimal places
Answer: 246.57cm²
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4.
Ratio
a:b is 5:9 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 40:72:63
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5.
Statistics
Find the mean, median and range of: 12, 38, 18, 72, 50, 77, 41
Answer: Mean = 44, Median = 41, Range = 65
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1.
Number
Simplify: √304
Answer: 4√19
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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 = 12cm, angle = 59°. Give your answer to 2 decimal places
Answer: 87.43cm²
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4.
Ratio
a:b is 9:2 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 81:18:16
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5.
Statistics
Find the mean, median and range of: 98, 62, 93, 100, 59, 65, 67, 83, 25. Give your answer to 2 decimal places
Answer: Mean = 72.44, Median = 67, Range = 75