Change pack
Capstone
May 19 - 25
25 questions
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1.
Number
Simplify: √250
Answer: 5√10
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2.
Algebra
Complete the square: 2x² - 4x
Answer: 2(x - 1)² - 2
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3.
Geometry
Find area of triangle: a = 17cm, b = 14cm, angle = 72°. Give your answer to 2 decimal places
Answer: 113.18cm²
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4.
Ratio
a:b is 5:3 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 20:12:3
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5.
Statistics
Find the mean, median and range of: 50, 78, 30, 61, 29, 19, 77, 31, 12
Answer: Mean = 43, Median = 31, Range = 66
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1.
Number
Simplify: 5√48
Answer: 20√3
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2.
Algebra
Complete the square: 5x² - 40x + 6
Answer: 5(x - 4)² - 74
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3.
Geometry
Find area of triangle: a = 28cm, b = 19cm, angle = 70°. Give your answer to 2 decimal places
Answer: 249.96cm²
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4.
Ratio
a:b is 3:2 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 27:18:4
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5.
Statistics
Find the mean, median and range of: 39, 57, 94, 27, 87, 68, 24, 97, 79. Give your answer to 2 decimal places
Answer: Mean = 63.56, Median = 68, Range = 73
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1.
Number
Simplify: √396
Answer: 6√11
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2.
Algebra
Complete the square: 2x² - 16x - 12
Answer: 2(x - 4)² - 44
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3.
Geometry
Find area of triangle: a = 20cm, b = 18cm, angle = 64°. Give your answer to 2 decimal places
Answer: 161.78cm²
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4.
Ratio
a:b is 6:7 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 24:28:21
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5.
Statistics
Find the mean, median and range of: 24, 47, 35, 48, 93, 97, 78. Give your answer to 2 decimal places
Answer: Mean = 60.29, Median = 48, Range = 73
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1.
Number
Simplify: 5√75
Answer: 25√3
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2.
Algebra
Complete the square: x² + 9x - 8
Answer: (x + 9⁄2)² - 113⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 17cm, angle = 80°. Give your answer to 2 decimal places
Answer: 150.68cm²
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4.
Ratio
a:b is 1:5 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 7:35:45
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5.
Statistics
Find the mean, median and range of: 75, 93, 39, 84, 93, 56, 99
Answer: Mean = 77, Median = 84, Range = 60
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1.
Number
Simplify: 2√28
Answer: 4√7
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2.
Algebra
Complete the square: x² + 9x + 5
Answer: (x + 9⁄2)² - 61⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 25cm, angle = 63°. Give your answer to 2 decimal places
Answer: 144.79cm²
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4.
Ratio
a:b is 5:9 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 10:18:27
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5.
Statistics
Find the mean, median and range of: 94, 13, 51, 44, 11, 98, 15. Give your answer to 2 decimal places
Answer: Mean = 46.57, Median = 44, Range = 87