Change pack
Capstone
Sep 23 - 29
25 questions
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1.
Number
Simplify: √48
Answer: 4√3
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2.
Algebra
Complete the square: 4x² + 32x - 9
Answer: 4(x + 4)² - 73
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3.
Geometry
Find area of triangle: a = 29cm, b = 18cm, angle = 63°. Give your answer to 2 decimal places
Answer: 232.55cm²
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4.
Ratio
a:b is 1:3 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 7:21:6
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5.
Statistics
Find the mean, median and range of: 99, 49, 65, 63, 30, 40, 24, 50, 68. Give your answer to 2 decimal places
Answer: Mean = 54.22, Median = 50, Range = 75
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1.
Number
Simplify: 5√48
Answer: 20√3
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2.
Algebra
Complete the square: 4x² - 24x - 1
Answer: 4(x - 3)² - 37
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3.
Geometry
Find area of triangle: a = 14cm, b = 24cm, angle = 61°. Give your answer to 2 decimal places
Answer: 146.94cm²
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4.
Ratio
a:b is 2:3 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 10:15:3
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5.
Statistics
Find the mean, median and range of: 46, 65, 61, 75, 81, 60, 77, 81
Answer: Mean = 68.25, Median = 70, Range = 35
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1.
Number
Simplify: 5√45
Answer: 15√5
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2.
Algebra
Complete the square: x² + 11x + 8
Answer: (x + 11⁄2)² - 89⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 21cm, angle = 70°. Give your answer to 2 decimal places
Answer: 256.54cm²
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4.
Ratio
a:b is 2:7 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 18:63:35
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5.
Statistics
Find the mean, median and range of: 72, 61, 51, 28, 73, 19, 16. Give your answer to 2 decimal places
Answer: Mean = 45.71, Median = 51, Range = 57
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1.
Number
Simplify: √80
Answer: 4√5
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2.
Algebra
Complete the square: 5x² + 60x + 8
Answer: 5(x + 6)² - 172
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3.
Geometry
Find area of triangle: a = 20cm, b = 28cm, angle = 74°. Give your answer to 2 decimal places
Answer: 269.15cm²
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4.
Ratio
a:b is 3:5 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 18:30:5
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5.
Statistics
Find the mean, median and range of: 31, 93, 90, 16, 27, 60, 21, 48, 57. Give your answer to 2 decimal places
Answer: Mean = 49.22, Median = 48, Range = 77
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1.
Number
Simplify: 5√63
Answer: 15√7
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2.
Algebra
Complete the square: 2x² + 16x - 2
Answer: 2(x + 4)² - 34
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3.
Geometry
Find area of triangle: a = 16cm, b = 23cm, angle = 55°. Give your answer to 2 decimal places
Answer: 150.72cm²
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4.
Ratio
a:b is 7:5 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 63:45:10
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5.
Statistics
Find the mean, median and range of: 39, 58, 29, 87, 90, 26, 11, 29. Give your answer to 2 decimal places
Answer: Mean = 46.13, Median = 34, Range = 79