Change pack
Capstone
Jan 19 - 25
25 questions
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1.
Number
Simplify: 3√175
Answer: 15√7
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2.
Algebra
Complete the square: x² - 3x + 4
Answer: (x - 3⁄2)² + 7⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 30cm, angle = 62°. Give your answer to 2 decimal places
Answer: 357.59cm²
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4.
Ratio
a:b is 9:8 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 81:72:8
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5.
Statistics
Find the mean, median and range of: 49, 63, 86, 93, 51, 71, 77
Answer: Mean = 70, Median = 71, Range = 44
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1.
Number
Simplify: √240
Answer: 4√15
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2.
Algebra
Complete the square: 3x² + 6x - 5
Answer: 3(x + 1)² - 8
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3.
Geometry
Find area of triangle: a = 12cm, b = 29cm, angle = 67°. Give your answer to 2 decimal places
Answer: 160.17cm²
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4.
Ratio
a:b is 8:3 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 40:15:18
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5.
Statistics
Find the mean, median and range of: 74, 30, 63, 71, 80, 13, 67, 94
Answer: Mean = 61.5, Median = 69, Range = 81
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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 = 27cm, b = 12cm, angle = 71°. Give your answer to 2 decimal places
Answer: 153.17cm²
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4.
Ratio
a:b is 7:5 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 28:20:5
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5.
Statistics
Find the mean, median and range of: 33, 63, 98, 18, 29, 97, 31, 78. Give your answer to 2 decimal places
Answer: Mean = 55.88, Median = 48, Range = 80
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1.
Number
Simplify: √896
Answer: 8√14
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2.
Algebra
Complete the square: 4x² - 40x - 4
Answer: 4(x - 5)² - 104
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3.
Geometry
Find area of triangle: a = 25cm, b = 29cm, angle = 55°. Give your answer to 2 decimal places
Answer: 296.94cm²
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4.
Ratio
a:b is 9:8 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 27:24:56
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5.
Statistics
Find the mean, median and range of: 31, 39, 72, 75, 86, 55, 21. Give your answer to 2 decimal places
Answer: Mean = 54.14, Median = 55, Range = 65
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: x² - 7x - 7
Answer: (x - 7⁄2)² - 77⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 18cm, angle = 50°. Give your answer to 2 decimal places
Answer: 206.83cm²
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4.
Ratio
a:b is 1:7 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 5:35:28
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5.
Statistics
Find the mean, median and range of: 14, 47, 80, 97, 93, 72, 47, 98
Answer: Mean = 68.5, Median = 76, Range = 84