Change pack
Capstone
May 16 - 22
25 questions
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1.
Number
Simplify: √504
Answer: 6√14
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2.
Algebra
Complete the square: 4x² - 24x + 13
Answer: 4(x - 3)² - 23
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3.
Geometry
Find area of triangle: a = 15cm, b = 21cm, angle = 52°. Give your answer to 2 decimal places
Answer: 124.11cm²
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4.
Ratio
a:b is 1:4 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 7:28:36
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5.
Statistics
Find the mean, median and range of: 59, 81, 41, 73, 49, 69, 39, 42. Give your answer to 2 decimal places
Answer: Mean = 56.63, Median = 54, Range = 42
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1.
Number
Simplify: √833
Answer: 7√17
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2.
Algebra
Complete the square: x² + 3x - 5
Answer: (x + 3⁄2)² - 29⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 15cm, angle = 61°. Give your answer to 2 decimal places
Answer: 104.95cm²
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4.
Ratio
a:b is 7:9 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 49:63:81
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5.
Statistics
Find the mean, median and range of: 69, 74, 43, 88, 39, 31, 93, 97
Answer: Mean = 66.75, Median = 71.5, Range = 66
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1.
Number
Simplify: √162
Answer: 9√2
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2.
Algebra
Complete the square: 3x² + 6x + 6
Answer: 3(x + 1)² + 3
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3.
Geometry
Find area of triangle: a = 14cm, b = 25cm, angle = 51°. Give your answer to 2 decimal places
Answer: 136cm²
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4.
Ratio
a:b is 1:8 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 7:56:32
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5.
Statistics
Find the mean, median and range of: 39, 72, 73, 16, 66, 43, 80, 17
Answer: Mean = 50.75, Median = 54.5, Range = 64
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1.
Number
Simplify: √490
Answer: 7√10
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2.
Algebra
Complete the square: 3x² - 12x - 14
Answer: 3(x - 2)² - 26
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3.
Geometry
Find area of triangle: a = 16cm, b = 17cm, angle = 60°. Give your answer to 2 decimal places
Answer: 117.78cm²
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4.
Ratio
a:b is 7:9 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 28:36:9
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5.
Statistics
Find the mean, median and range of: 78, 98, 85, 67, 32, 21, 16, 36. Give your answer to 2 decimal places
Answer: Mean = 54.13, Median = 51.5, Range = 82
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1.
Number
Simplify: 2√125
Answer: 10√5
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2.
Algebra
Complete the square: x² - 3x - 8
Answer: (x - 3⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 23cm, angle = 62°. Give your answer to 2 decimal places
Answer: 142.15cm²
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4.
Ratio
a:b is 5:3 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 35:21:12
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5.
Statistics
Find the mean, median and range of: 87, 64, 49, 33, 88, 73, 84, 87. Give your answer to 2 decimal places
Answer: Mean = 70.63, Median = 78.5, Range = 55