Change pack
Capstone
Mar 6 - 12
25 questions
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1.
Number
Simplify: √216
Answer: 6√6
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2.
Algebra
Complete the square: 4x² - 8x + 6
Answer: 4(x - 1)² + 2
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3.
Geometry
Find area of triangle: a = 27cm, b = 27cm, angle = 42°. Give your answer to 2 decimal places
Answer: 243.9cm²
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4.
Ratio
a:b is 9:7 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 36:28:49
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5.
Statistics
Find the mean, median and range of: 99, 18, 27, 38, 45, 88, 23, 51. Give your answer to 2 decimal places
Answer: Mean = 48.63, Median = 41.5, Range = 81
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1.
Number
Simplify: √180
Answer: 6√5
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2.
Algebra
Complete the square: 5x² + 50x + 12
Answer: 5(x + 5)² - 113
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3.
Geometry
Find area of triangle: a = 19cm, b = 23cm, angle = 49°. Give your answer to 2 decimal places
Answer: 164.9cm²
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4.
Ratio
a:b is 8:7 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 24:21:35
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5.
Statistics
Find the mean, median and range of: 76, 41, 29, 20, 67, 83, 98. Give your answer to 2 decimal places
Answer: Mean = 59.14, Median = 67, Range = 78
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1.
Number
Simplify: 3√8
Answer: 6√2
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2.
Algebra
Complete the square: 3x² - 36x + 5
Answer: 3(x - 6)² - 103
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3.
Geometry
Find area of triangle: a = 20cm, b = 21cm, angle = 51°. Give your answer to 2 decimal places
Answer: 163.2cm²
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4.
Ratio
a:b is 2:9 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 10:45:54
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5.
Statistics
Find the mean, median and range of: 49, 17, 61, 90, 64, 72, 60, 73, 95. Give your answer to 2 decimal places
Answer: Mean = 64.56, Median = 64, Range = 78
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1.
Number
Simplify: 5√45
Answer: 15√5
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2.
Algebra
Complete the square: 4x² + 48x + 2
Answer: 4(x + 6)² - 142
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3.
Geometry
Find area of triangle: a = 13cm, b = 28cm, angle = 79°. Give your answer to 2 decimal places
Answer: 178.66cm²
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4.
Ratio
a:b is 9:8 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 27:24:4
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5.
Statistics
Find the mean, median and range of: 26, 30, 47, 57, 77, 33, 68. Give your answer to 2 decimal places
Answer: Mean = 48.29, Median = 47, Range = 51
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1.
Number
Simplify: √162
Answer: 9√2
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2.
Algebra
Complete the square: x² + 11x + 11
Answer: (x + 11⁄2)² - 77⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 24cm, angle = 59°. Give your answer to 2 decimal places
Answer: 277.72cm²
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4.
Ratio
a:b is 6:7 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 30:35:49
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5.
Statistics
Find the mean, median and range of: 97, 39, 15, 78, 60, 37, 92. Give your answer to 2 decimal places
Answer: Mean = 59.71, Median = 60, Range = 82