Change pack
Capstone
Dec 13 - 19
25 questions
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1.
Number
Simplify: √200
Answer: 10√2
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2.
Algebra
Complete the square: x² + 5x + 4
Answer: (x + 5⁄2)² - 9⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 23cm, angle = 52°. Give your answer to 2 decimal places
Answer: 253.74cm²
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4.
Ratio
a:b is 7:8 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 35:40:64
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5.
Statistics
Find the mean, median and range of: 82, 19, 83, 80, 50, 29, 94, 99
Answer: Mean = 67, Median = 81, Range = 80
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1.
Number
Simplify: 5√80
Answer: 20√5
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2.
Algebra
Complete the square: x² - 9x - 5
Answer: (x - 9⁄2)² - 101⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 30cm, angle = 57°. Give your answer to 2 decimal places
Answer: 301.92cm²
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4.
Ratio
a:b is 9:5 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 18:10:5
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5.
Statistics
Find the mean, median and range of: 80, 73, 73, 68, 59, 27, 52, 74
Answer: Mean = 63.25, Median = 70.5, Range = 53
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1.
Number
Simplify: √425
Answer: 5√17
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2.
Algebra
Complete the square: 2x² + 16x - 13
Answer: 2(x + 4)² - 45
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3.
Geometry
Find area of triangle: a = 23cm, b = 14cm, angle = 60°. Give your answer to 2 decimal places
Answer: 139.43cm²
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4.
Ratio
a:b is 4:9 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 28:63:9
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5.
Statistics
Find the mean, median and range of: 80, 74, 32, 90, 62, 32, 42, 22
Answer: Mean = 54.25, Median = 52, Range = 68
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1.
Number
Simplify: 5√24
Answer: 10√6
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2.
Algebra
Complete the square: 4x² + 24x + 15
Answer: 4(x + 3)² - 21
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3.
Geometry
Find area of triangle: a = 17cm, b = 21cm, angle = 72°. Give your answer to 2 decimal places
Answer: 169.76cm²
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4.
Ratio
a:b is 8:7 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 24:21:49
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5.
Statistics
Find the mean, median and range of: 35, 58, 64, 30, 56, 98, 34, 29, 78. Give your answer to 2 decimal places
Answer: Mean = 53.56, Median = 56, Range = 69
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1.
Number
Simplify: √833
Answer: 7√17
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2.
Algebra
Complete the square: 3x² + 12x + 9
Answer: 3(x + 2)² - 3
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3.
Geometry
Find area of triangle: a = 19cm, b = 26cm, angle = 63°. Give your answer to 2 decimal places
Answer: 220.08cm²
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4.
Ratio
a:b is 8:3 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 56:21:6
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5.
Statistics
Find the mean, median and range of: 13, 48, 13, 77, 76, 13, 83, 29
Answer: Mean = 44, Median = 38.5, Range = 70