Change pack
Capstone
Aug 30 - Sep 5
25 questions
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1.
Number
Simplify: 2√8
Answer: 4√2
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2.
Algebra
Complete the square: x² + 7x - 3
Answer: (x + 7⁄2)² - 61⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 21cm, angle = 49°. Give your answer to 2 decimal places
Answer: 190.19cm²
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4.
Ratio
a:b is 7:5 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 42:30:5
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5.
Statistics
Find the mean, median and range of: 63, 60, 96, 26, 70, 87, 55, 24, 59
Answer: Mean = 60, Median = 60, Range = 72
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1.
Number
Simplify: √704
Answer: 8√11
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2.
Algebra
Complete the square: 2x² - 8x + 6
Answer: 2(x - 2)² - 2
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3.
Geometry
Find area of triangle: a = 15cm, b = 27cm, angle = 57°. Give your answer to 2 decimal places
Answer: 169.83cm²
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4.
Ratio
a:b is 4:7 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 32:56:63
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5.
Statistics
Find the mean, median and range of: 83, 48, 20, 40, 85, 28, 20. Give your answer to 2 decimal places
Answer: Mean = 46.29, Median = 40, Range = 65
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1.
Number
Simplify: 5√160
Answer: 20√10
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2.
Algebra
Complete the square: 2x² - 4x + 15
Answer: 2(x - 1)² + 13
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3.
Geometry
Find area of triangle: a = 25cm, b = 18cm, angle = 59°. Give your answer to 2 decimal places
Answer: 192.86cm²
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4.
Ratio
a:b is 1:4 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 7:28:12
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5.
Statistics
Find the mean, median and range of: 80, 47, 86, 40, 53, 82, 23, 93, 86. Give your answer to 2 decimal places
Answer: Mean = 65.56, Median = 80, Range = 70
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1.
Number
Simplify: √792
Answer: 6√22
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2.
Algebra
Complete the square: 4x² + 48x + 9
Answer: 4(x + 6)² - 135
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3.
Geometry
Find area of triangle: a = 19cm, b = 21cm, angle = 53°. Give your answer to 2 decimal places
Answer: 159.33cm²
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4.
Ratio
a:b is 4:5 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 36:45:10
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5.
Statistics
Find the mean, median and range of: 23, 71, 89, 46, 57, 82, 51, 100, 36. Give your answer to 2 decimal places
Answer: Mean = 61.67, Median = 57, Range = 77
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1.
Number
Simplify: 2√150
Answer: 10√6
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2.
Algebra
Complete the square: 4x² - 32x + 5
Answer: 4(x - 4)² - 59
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3.
Geometry
Find area of triangle: a = 20cm, b = 17cm, angle = 65°. Give your answer to 2 decimal places
Answer: 154.07cm²
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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: 59, 63, 47, 23, 11, 52, 68. Give your answer to 2 decimal places
Answer: Mean = 46.14, Median = 52, Range = 57