Change pack
Capstone
Jun 6 - 12
25 questions
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1.
Number
Simplify: √352
Answer: 4√22
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2.
Algebra
Complete the square: x² - 11x - 11
Answer: (x - 11⁄2)² - 165⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 30cm, angle = 60°. Give your answer to 2 decimal places
Answer: 194.86cm²
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4.
Ratio
a:b is 5:9 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 35:63:18
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5.
Statistics
Find the mean, median and range of: 39, 85, 91, 45, 27, 90, 13, 81, 76. Give your answer to 2 decimal places
Answer: Mean = 60.78, Median = 76, Range = 78
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1.
Number
Simplify: √735
Answer: 7√15
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2.
Algebra
Complete the square: 5x² - 40x
Answer: 5(x - 4)² - 80
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3.
Geometry
Find area of triangle: a = 25cm, b = 15cm, angle = 64°. Give your answer to 2 decimal places
Answer: 168.52cm²
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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: 73, 76, 96, 94, 15, 10, 77, 36, 47. Give your answer to 2 decimal places
Answer: Mean = 58.22, Median = 73, Range = 86
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1.
Number
Simplify: √245
Answer: 7√5
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2.
Algebra
Complete the square: 4x² - 16x + 12
Answer: 4(x - 2)² - 4
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3.
Geometry
Find area of triangle: a = 17cm, b = 24cm, angle = 69°. Give your answer to 2 decimal places
Answer: 190.45cm²
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4.
Ratio
a:b is 7:2 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 35:10:14
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5.
Statistics
Find the mean, median and range of: 84, 10, 29, 89, 17, 50, 91. Give your answer to 2 decimal places
Answer: Mean = 52.86, Median = 50, Range = 81
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1.
Number
Simplify: √162
Answer: 9√2
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2.
Algebra
Complete the square: 4x² - 48x - 12
Answer: 4(x - 6)² - 156
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3.
Geometry
Find area of triangle: a = 25cm, b = 19cm, angle = 40°. Give your answer to 2 decimal places
Answer: 152.66cm²
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4.
Ratio
a:b is 5:4 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 15:12:28
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5.
Statistics
Find the mean, median and range of: 38, 40, 66, 97, 32, 99, 24. Give your answer to 2 decimal places
Answer: Mean = 56.57, Median = 40, Range = 75
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1.
Number
Simplify: √336
Answer: 4√21
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2.
Algebra
Complete the square: 2x² - 12x + 15
Answer: 2(x - 3)² - 3
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3.
Geometry
Find area of triangle: a = 27cm, b = 13cm, angle = 59°. Give your answer to 2 decimal places
Answer: 150.43cm²
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4.
Ratio
a:b is 5:8 and b:c is 6:7. Find a:b:c in its simplest form.
Answer: 15:24:28
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5.
Statistics
Find the mean, median and range of: 82, 85, 30, 62, 95, 11, 36, 17, 74. Give your answer to 2 decimal places
Answer: Mean = 54.67, Median = 62, Range = 84