Change pack
Capstone
Jan 5 - 11
25 questions
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1.
Number
Simplify: √847
Answer: 11√7
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2.
Algebra
Complete the square: 2x² - 8x - 10
Answer: 2(x - 2)² - 18
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3.
Geometry
Find area of triangle: a = 25cm, b = 24cm, angle = 70°. Give your answer to 2 decimal places
Answer: 281.91cm²
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4.
Ratio
a:b is 3:4 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 21:28:20
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5.
Statistics
Find the mean, median and range of: 84, 93, 38, 47, 40, 73, 76. Give your answer to 2 decimal places
Answer: Mean = 64.43, Median = 73, Range = 55
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1.
Number
Simplify: 2√20
Answer: 4√5
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2.
Algebra
Complete the square: 2x² - 8x + 12
Answer: 2(x - 2)² + 4
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3.
Geometry
Find area of triangle: a = 22cm, b = 14cm, angle = 78°. Give your answer to 2 decimal places
Answer: 150.63cm²
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4.
Ratio
a:b is 7:3 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 14:6:21
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5.
Statistics
Find the mean, median and range of: 80, 76, 52, 71, 97, 43, 17. Give your answer to 2 decimal places
Answer: Mean = 62.29, Median = 71, Range = 80
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1.
Number
Simplify: √475
Answer: 5√19
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2.
Algebra
Complete the square: 4x² - 40x - 9
Answer: 4(x - 5)² - 109
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3.
Geometry
Find area of triangle: a = 27cm, b = 14cm, angle = 70°. Give your answer to 2 decimal places
Answer: 177.6cm²
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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: 86, 74, 63, 21, 80, 84, 82
Answer: Mean = 70, Median = 80, Range = 65
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1.
Number
Simplify: 4√160
Answer: 16√10
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2.
Algebra
Complete the square: 2x² - 20x - 8
Answer: 2(x - 5)² - 58
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3.
Geometry
Find area of triangle: a = 28cm, b = 29cm, angle = 70°. Give your answer to 2 decimal places
Answer: 381.52cm²
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4.
Ratio
a:b is 2:5 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 4:10:5
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5.
Statistics
Find the mean, median and range of: 79, 11, 43, 75, 90, 90, 100, 88
Answer: Mean = 72, Median = 83.5, Range = 89
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1.
Number
Simplify: 2√63
Answer: 6√7
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2.
Algebra
Complete the square: x² + 5x
Answer: (x + 5⁄2)² - 25⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 20cm, angle = 51°. Give your answer to 2 decimal places
Answer: 139.89cm²
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4.
Ratio
a:b is 2:7 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 6:21:7
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5.
Statistics
Find the mean, median and range of: 23, 54, 74, 36, 72, 52, 17, 68
Answer: Mean = 49.5, Median = 53, Range = 57