Change pack
Capstone
Jan 30 - Feb 5
25 questions
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1.
Number
Simplify: √384
Answer: 8√6
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2.
Algebra
Complete the square: 5x² + 60x + 14
Answer: 5(x + 6)² - 166
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3.
Geometry
Find area of triangle: a = 14cm, b = 19cm, angle = 60°. Give your answer to 2 decimal places
Answer: 115.18cm²
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4.
Ratio
a:b is 4:5 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 32:40:5
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5.
Statistics
Find the mean, median and range of: 86, 81, 42, 37, 14, 63, 37, 26
Answer: Mean = 48.25, Median = 39.5, Range = 72
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1.
Number
Simplify: √192
Answer: 8√3
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2.
Algebra
Complete the square: x² - x + 11
Answer: (x - 1⁄2)² + 43⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 28cm, angle = 52°. Give your answer to 2 decimal places
Answer: 187.55cm²
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4.
Ratio
a:b is 4:7 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 8:14:63
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5.
Statistics
Find the mean, median and range of: 55, 68, 69, 32, 86, 60, 59, 55
Answer: Mean = 60.5, Median = 59.5, Range = 54
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1.
Number
Simplify: √891
Answer: 9√11
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2.
Algebra
Complete the square: 2x² - 20x + 13
Answer: 2(x - 5)² - 37
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3.
Geometry
Find area of triangle: a = 20cm, b = 18cm, angle = 51°. Give your answer to 2 decimal places
Answer: 139.89cm²
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4.
Ratio
a:b is 2:3 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 8:12:21
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5.
Statistics
Find the mean, median and range of: 37, 77, 12, 58, 44, 88, 29, 51, 53. Give your answer to 2 decimal places
Answer: Mean = 49.89, Median = 51, Range = 76
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1.
Number
Simplify: √350
Answer: 5√14
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2.
Algebra
Complete the square: 4x² + 16x + 5
Answer: 4(x + 2)² - 11
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3.
Geometry
Find area of triangle: a = 28cm, b = 23cm, angle = 69°. Give your answer to 2 decimal places
Answer: 300.61cm²
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4.
Ratio
a:b is 1:9 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 4:36:27
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5.
Statistics
Find the mean, median and range of: 37, 10, 54, 82, 26, 96, 45
Answer: Mean = 50, Median = 45, Range = 86
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1.
Number
Simplify: √336
Answer: 4√21
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2.
Algebra
Complete the square: 3x² - 12x - 14
Answer: 3(x - 2)² - 26
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3.
Geometry
Find area of triangle: a = 13cm, b = 17cm, angle = 76°. Give your answer to 2 decimal places
Answer: 107.22cm²
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4.
Ratio
a:b is 5:4 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 25:20:8
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5.
Statistics
Find the mean, median and range of: 15, 72, 56, 40, 33, 77, 77, 94, 86. Give your answer to 2 decimal places
Answer: Mean = 61.11, Median = 72, Range = 79