Change pack
Capstone
Apr 21 - 27
25 questions
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1.
Number
Simplify: √336
Answer: 4√21
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2.
Algebra
Complete the square: 4x² + 16x + 2
Answer: 4(x + 2)² - 14
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3.
Geometry
Find area of triangle: a = 21cm, b = 25cm, angle = 47°. Give your answer to 2 decimal places
Answer: 191.98cm²
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4.
Ratio
a:b is 6:7 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 48:56:21
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5.
Statistics
Find the mean, median and range of: 63, 94, 50, 43, 63, 73, 98, 12, 78. Give your answer to 2 decimal places
Answer: Mean = 63.78, Median = 63, Range = 86
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1.
Number
Simplify: √896
Answer: 8√14
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2.
Algebra
Complete the square: 3x² - 30x + 12
Answer: 3(x - 5)² - 63
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3.
Geometry
Find area of triangle: a = 28cm, b = 27cm, angle = 80°. Give your answer to 2 decimal places
Answer: 372.26cm²
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4.
Ratio
a:b is 2:5 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 8:20:45
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5.
Statistics
Find the mean, median and range of: 43, 39, 97, 66, 17, 78, 48. Give your answer to 2 decimal places
Answer: Mean = 55.43, Median = 48, Range = 80
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1.
Number
Simplify: √720
Answer: 12√5
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2.
Algebra
Complete the square: x² + 9x + 11
Answer: (x + 9⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 29cm, angle = 55°. Give your answer to 2 decimal places
Answer: 249.43cm²
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4.
Ratio
a:b is 6:7 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 54:63:28
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5.
Statistics
Find the mean, median and range of: 86, 73, 46, 45, 41, 99, 15, 95
Answer: Mean = 62.5, Median = 59.5, Range = 84
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1.
Number
Simplify: 3√27
Answer: 9√3
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2.
Algebra
Complete the square: 2x² - 20x + 9
Answer: 2(x - 5)² - 41
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3.
Geometry
Find area of triangle: a = 24cm, b = 19cm, angle = 41°. Give your answer to 2 decimal places
Answer: 149.58cm²
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4.
Ratio
a:b is 4:3 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 32:24:9
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5.
Statistics
Find the mean, median and range of: 79, 47, 31, 56, 31, 70, 63, 51, 73. Give your answer to 2 decimal places
Answer: Mean = 55.67, Median = 56, Range = 48
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1.
Number
Simplify: 5√20
Answer: 10√5
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2.
Algebra
Complete the square: x² - 9x + 7
Answer: (x - 9⁄2)² - 53⁄4
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3.
Geometry
Find area of triangle: a = 23cm, b = 18cm, angle = 53°. Give your answer to 2 decimal places
Answer: 165.32cm²
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4.
Ratio
a:b is 5:6 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 20:24:3
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5.
Statistics
Find the mean, median and range of: 49, 41, 54, 98, 92, 97, 55, 57, 84. Give your answer to 2 decimal places
Answer: Mean = 69.67, Median = 57, Range = 57