Change pack
Capstone
May 5 - 11
25 questions
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1.
Number
Simplify: √175
Answer: 5√7
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2.
Algebra
Complete the square: x² + 7x - 1
Answer: (x + 7⁄2)² - 53⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 22cm, angle = 54°. Give your answer to 2 decimal places
Answer: 266.98cm²
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4.
Ratio
a:b is 7:9 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 49:63:18
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5.
Statistics
Find the mean, median and range of: 33, 92, 99, 34, 97, 86, 64. Give your answer to 2 decimal places
Answer: Mean = 72.14, Median = 86, Range = 66
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1.
Number
Simplify: 3√275
Answer: 15√11
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2.
Algebra
Complete the square: 2x² - 24x - 6
Answer: 2(x - 6)² - 78
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3.
Geometry
Find area of triangle: a = 18cm, b = 16cm, angle = 66°. Give your answer to 2 decimal places
Answer: 131.55cm²
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4.
Ratio
a:b is 7:9 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 14:18:9
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5.
Statistics
Find the mean, median and range of: 31, 64, 12, 82, 26, 75, 72, 100
Answer: Mean = 57.75, Median = 68, Range = 88
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1.
Number
Simplify: 5√44
Answer: 10√11
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2.
Algebra
Complete the square: 4x² + 8x - 14
Answer: 4(x + 1)² - 18
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3.
Geometry
Find area of triangle: a = 22cm, b = 24cm, angle = 60°. Give your answer to 2 decimal places
Answer: 228.63cm²
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4.
Ratio
a:b is 2:3 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 16:24:3
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5.
Statistics
Find the mean, median and range of: 33, 55, 12, 19, 12, 89, 24, 75, 39. Give your answer to 2 decimal places
Answer: Mean = 39.78, Median = 33, Range = 77
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1.
Number
Simplify: √363
Answer: 11√3
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2.
Algebra
Complete the square: 5x² - 40x + 1
Answer: 5(x - 4)² - 79
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3.
Geometry
Find area of triangle: a = 15cm, b = 19cm, angle = 74°. Give your answer to 2 decimal places
Answer: 136.98cm²
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4.
Ratio
a:b is 1:9 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 7:63:27
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5.
Statistics
Find the mean, median and range of: 42, 78, 95, 57, 90, 73, 61, 26, 60. Give your answer to 2 decimal places
Answer: Mean = 64.67, Median = 61, Range = 69
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1.
Number
Simplify: √756
Answer: 6√21
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2.
Algebra
Complete the square: x² + 11x + 4
Answer: (x + 11⁄2)² - 105⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 13cm, angle = 48°. Give your answer to 2 decimal places
Answer: 115.93cm²
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4.
Ratio
a:b is 1:9 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 2:18:81
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5.
Statistics
Find the mean, median and range of: 22, 73, 53, 64, 14, 31, 29, 59. Give your answer to 2 decimal places
Answer: Mean = 43.13, Median = 42, Range = 59