Change pack
Capstone
Oct 15 - 21
25 questions
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1.
Number
Simplify: √245
Answer: 7√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 = 28cm, b = 28cm, angle = 53°. Give your answer to 2 decimal places
Answer: 313.07cm²
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4.
Ratio
a:b is 9:8 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 63:56:72
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5.
Statistics
Find the mean, median and range of: 97, 20, 42, 59, 15, 18, 26, 29, 93. Give your answer to 2 decimal places
Answer: Mean = 44.33, Median = 29, Range = 82
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1.
Number
Simplify: √847
Answer: 11√7
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2.
Algebra
Complete the square: 4x² - 16x - 4
Answer: 4(x - 2)² - 20
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3.
Geometry
Find area of triangle: a = 19cm, b = 29cm, angle = 69°. Give your answer to 2 decimal places
Answer: 257.2cm²
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4.
Ratio
a:b is 9:2 and b:c is 3:1. Find a:b:c in its simplest form.
Answer: 27:6:2
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5.
Statistics
Find the mean, median and range of: 91, 27, 34, 98, 35, 10, 63, 65, 71. Give your answer to 2 decimal places
Answer: Mean = 54.89, Median = 63, Range = 88
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1.
Number
Simplify: √208
Answer: 4√13
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2.
Algebra
Complete the square: x² - 7x + 12
Answer: (x - 7⁄2)² - 1⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 21cm, angle = 72°. Give your answer to 2 decimal places
Answer: 159.78cm²
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4.
Ratio
a:b is 3:7 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 27:63:56
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5.
Statistics
Find the mean, median and range of: 69, 78, 66, 43, 99, 97, 24, 25. Give your answer to 2 decimal places
Answer: Mean = 62.63, Median = 67.5, Range = 75
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1.
Number
Simplify: 2√112
Answer: 8√7
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2.
Algebra
Complete the square: 5x² + 60x - 15
Answer: 5(x + 6)² - 195
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3.
Geometry
Find area of triangle: a = 27cm, b = 13cm, angle = 70°. Give your answer to 2 decimal places
Answer: 164.92cm²
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4.
Ratio
a:b is 9:2 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 45:10:8
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5.
Statistics
Find the mean, median and range of: 90, 17, 13, 88, 16, 24, 95
Answer: Mean = 49, Median = 24, Range = 82
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1.
Number
Simplify: √240
Answer: 4√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 = 27cm, b = 12cm, angle = 62°. Give your answer to 2 decimal places
Answer: 143.04cm²
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4.
Ratio
a:b is 5:3 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 40:24:15
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5.
Statistics
Find the mean, median and range of: 24, 23, 98, 55, 79, 31, 89
Answer: Mean = 57, Median = 55, Range = 75