Change pack
Capstone
Sep 6 - 12
25 questions
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1.
Number
Simplify: 2√112
Answer: 8√7
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2.
Algebra
Complete the square: 3x² - 30x - 8
Answer: 3(x - 5)² - 83
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3.
Geometry
Find area of triangle: a = 23cm, b = 28cm, angle = 40°. Give your answer to 2 decimal places
Answer: 206.98cm²
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4.
Ratio
a:b is 2:5 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 16:40:15
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5.
Statistics
Find the mean, median and range of: 31, 66, 77, 14, 86, 97, 15, 32
Answer: Mean = 52.25, Median = 49, Range = 83
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1.
Number
Simplify: √375
Answer: 5√15
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2.
Algebra
Complete the square: x² - 3x + 4
Answer: (x - 3⁄2)² + 7⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 13cm, angle = 54°. Give your answer to 2 decimal places
Answer: 73.62cm²
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4.
Ratio
a:b is 7:2 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 35:10:4
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5.
Statistics
Find the mean, median and range of: 95, 93, 42, 82, 13, 52, 10, 90. Give your answer to 2 decimal places
Answer: Mean = 59.63, Median = 67, Range = 85
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1.
Number
Simplify: 5√75
Answer: 25√3
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2.
Algebra
Complete the square: 3x² + 12x + 10
Answer: 3(x + 2)² - 2
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3.
Geometry
Find area of triangle: a = 12cm, b = 13cm, angle = 55°. Give your answer to 2 decimal places
Answer: 63.89cm²
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4.
Ratio
a:b is 1:6 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 2:12:27
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5.
Statistics
Find the mean, median and range of: 23, 29, 42, 32, 27, 71, 89, 26, 24. Give your answer to 2 decimal places
Answer: Mean = 40.33, Median = 29, Range = 66
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1.
Number
Simplify: √405
Answer: 9√5
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2.
Algebra
Complete the square: 4x² - 32x - 7
Answer: 4(x - 4)² - 71
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3.
Geometry
Find area of triangle: a = 12cm, b = 23cm, angle = 78°. Give your answer to 2 decimal places
Answer: 134.98cm²
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4.
Ratio
a:b is 5:4 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 15:12:8
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5.
Statistics
Find the mean, median and range of: 94, 20, 49, 27, 52, 71, 32, 94, 56
Answer: Mean = 55, Median = 52, Range = 74
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1.
Number
Simplify: √735
Answer: 7√15
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2.
Algebra
Complete the square: 4x² + 48x - 14
Answer: 4(x + 6)² - 158
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3.
Geometry
Find area of triangle: a = 29cm, b = 17cm, angle = 50°. Give your answer to 2 decimal places
Answer: 188.83cm²
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4.
Ratio
a:b is 1:2 and b:c is 9:7. Find a:b:c in its simplest form.
Answer: 9:18:14
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5.
Statistics
Find the mean, median and range of: 78, 87, 27, 36, 44, 66, 77, 52, 63. Give your answer to 2 decimal places
Answer: Mean = 58.89, Median = 63, Range = 60