Change pack
Capstone
May 7 - 13
25 questions
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1.
Number
Simplify: √847
Answer: 11√7
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2.
Algebra
Complete the square: x² + 11x + 6
Answer: (x + 11⁄2)² - 97⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 20cm, angle = 74°. Give your answer to 2 decimal places
Answer: 192.25cm²
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4.
Ratio
a:b is 3:5 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 21:35:25
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5.
Statistics
Find the mean, median and range of: 30, 46, 85, 31, 99, 75, 24, 12, 20. Give your answer to 2 decimal places
Answer: Mean = 46.89, Median = 31, Range = 87
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1.
Number
Simplify: 2√175
Answer: 10√7
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2.
Algebra
Complete the square: 4x² + 8x + 9
Answer: 4(x + 1)² + 5
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3.
Geometry
Find area of triangle: a = 20cm, b = 21cm, angle = 63°. Give your answer to 2 decimal places
Answer: 187.11cm²
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4.
Ratio
a:b is 2:9 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 14:63:54
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5.
Statistics
Find the mean, median and range of: 78, 57, 79, 59, 96, 72, 41, 47, 68. Give your answer to 2 decimal places
Answer: Mean = 66.33, Median = 68, Range = 55
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1.
Number
Simplify: √80
Answer: 4√5
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2.
Algebra
Complete the square: x² - x + 1
Answer: (x - 1⁄2)² + 3⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 29cm, angle = 42°. Give your answer to 2 decimal places
Answer: 242.56cm²
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4.
Ratio
a:b is 6:7 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 18:21:49
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5.
Statistics
Find the mean, median and range of: 97, 25, 81, 11, 56, 82, 79. Give your answer to 2 decimal places
Answer: Mean = 61.57, Median = 79, Range = 86
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1.
Number
Simplify: √272
Answer: 4√17
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2.
Algebra
Complete the square: x² + 5x + 8
Answer: (x + 5⁄2)² + 7⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 22cm, angle = 80°. Give your answer to 2 decimal places
Answer: 194.99cm²
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4.
Ratio
a:b is 9:8 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 27:24:32
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5.
Statistics
Find the mean, median and range of: 28, 31, 31, 92, 40, 58, 85. Give your answer to 2 decimal places
Answer: Mean = 52.14, Median = 40, Range = 64
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1.
Number
Simplify: √960
Answer: 8√15
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2.
Algebra
Complete the square: x² + x - 8
Answer: (x + 1⁄2)² - 33⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 13cm, angle = 49°. Give your answer to 2 decimal places
Answer: 112.83cm²
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4.
Ratio
a:b is 1:4 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 7:28:32
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5.
Statistics
Find the mean, median and range of: 45, 78, 10, 61, 26, 69, 51, 36
Answer: Mean = 47, Median = 48, Range = 68