Change pack
Capstone
Oct 26 - Nov 1
25 questions
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1.
Number
Simplify: 3√44
Answer: 6√11
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2.
Algebra
Complete the square: 2x² - 4x + 4
Answer: 2(x - 1)² + 2
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3.
Geometry
Find area of triangle: a = 30cm, b = 12cm, angle = 73°. Give your answer to 2 decimal places
Answer: 172.13cm²
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4.
Ratio
a:b is 9:8 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 63:56:40
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5.
Statistics
Find the mean, median and range of: 66, 43, 45, 91, 83, 41, 58, 86. Give your answer to 2 decimal places
Answer: Mean = 64.13, Median = 62, Range = 50
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1.
Number
Simplify: 4√18
Answer: 12√2
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2.
Algebra
Complete the square: 3x² - 12x + 6
Answer: 3(x - 2)² - 6
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3.
Geometry
Find area of triangle: a = 27cm, b = 14cm, angle = 73°. Give your answer to 2 decimal places
Answer: 180.74cm²
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4.
Ratio
a:b is 1:5 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 7:35:20
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5.
Statistics
Find the mean, median and range of: 30, 53, 56, 85, 19, 82, 45, 48, 49. Give your answer to 2 decimal places
Answer: Mean = 51.89, Median = 49, Range = 66
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1.
Number
Simplify: √363
Answer: 11√3
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2.
Algebra
Complete the square: 5x² + 20x - 4
Answer: 5(x + 2)² - 24
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3.
Geometry
Find area of triangle: a = 24cm, b = 19cm, angle = 76°. Give your answer to 2 decimal places
Answer: 221.23cm²
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4.
Ratio
a:b is 1:6 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 5:30:18
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5.
Statistics
Find the mean, median and range of: 32, 89, 23, 64, 13, 21, 23, 97
Answer: Mean = 45.25, Median = 27.5, Range = 84
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1.
Number
Simplify: 2√8
Answer: 4√2
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2.
Algebra
Complete the square: x² - 9x + 10
Answer: (x - 9⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 29cm, angle = 73°. Give your answer to 2 decimal places
Answer: 221.86cm²
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4.
Ratio
a:b is 3:7 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 6:14:21
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5.
Statistics
Find the mean, median and range of: 63, 19, 71, 59, 81, 61, 55, 21
Answer: Mean = 53.75, Median = 60, Range = 62
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1.
Number
Simplify: √48
Answer: 4√3
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2.
Algebra
Complete the square: 5x² - 50x - 9
Answer: 5(x - 5)² - 134
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3.
Geometry
Find area of triangle: a = 19cm, b = 25cm, angle = 79°. Give your answer to 2 decimal places
Answer: 233.14cm²
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4.
Ratio
a:b is 6:7 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 30:35:14
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5.
Statistics
Find the mean, median and range of: 57, 87, 25, 79, 52, 71, 57, 24
Answer: Mean = 56.5, Median = 57, Range = 63