Change pack
Capstone
May 2 - 8
25 questions
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1.
Number
Simplify: √216
Answer: 6√6
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2.
Algebra
Complete the square: 5x² + 60x + 6
Answer: 5(x + 6)² - 174
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3.
Geometry
Find area of triangle: a = 20cm, b = 29cm, angle = 78°. Give your answer to 2 decimal places
Answer: 283.66cm²
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4.
Ratio
a:b is 3:2 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 21:14:18
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5.
Statistics
Find the mean, median and range of: 40, 29, 72, 50, 32, 45, 38. Give your answer to 2 decimal places
Answer: Mean = 43.71, Median = 40, Range = 43
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1.
Number
Simplify: √864
Answer: 12√6
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2.
Algebra
Complete the square: 3x² + 18x - 11
Answer: 3(x + 3)² - 38
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3.
Geometry
Find area of triangle: a = 29cm, b = 13cm, angle = 73°. Give your answer to 2 decimal places
Answer: 180.26cm²
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4.
Ratio
a:b is 3:5 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 21:35:10
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5.
Statistics
Find the mean, median and range of: 12, 85, 28, 43, 70, 35, 46, 30, 91. Give your answer to 2 decimal places
Answer: Mean = 48.89, Median = 43, Range = 79
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1.
Number
Simplify: √352
Answer: 4√22
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2.
Algebra
Complete the square: 2x² - 4x + 12
Answer: 2(x - 1)² + 10
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3.
Geometry
Find area of triangle: a = 18cm, b = 14cm, angle = 52°. Give your answer to 2 decimal places
Answer: 99.29cm²
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4.
Ratio
a:b is 1:2 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 7:14:6
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5.
Statistics
Find the mean, median and range of: 63, 34, 58, 46, 87, 100, 87. Give your answer to 2 decimal places
Answer: Mean = 67.86, Median = 63, Range = 66
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1.
Number
Simplify: √539
Answer: 7√11
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2.
Algebra
Complete the square: x² + x - 4
Answer: (x + 1⁄2)² - 17⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 29cm, angle = 41°. Give your answer to 2 decimal places
Answer: 228.31cm²
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4.
Ratio
a:b is 9:7 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 81:63:14
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5.
Statistics
Find the mean, median and range of: 50, 80, 64, 91, 71, 76, 97, 30, 18. Give your answer to 2 decimal places
Answer: Mean = 64.11, Median = 71, Range = 79
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1.
Number
Simplify: √160
Answer: 4√10
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2.
Algebra
Complete the square: x² - 11x + 10
Answer: (x - 11⁄2)² - 81⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 22cm, angle = 61°. Give your answer to 2 decimal places
Answer: 279cm²
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4.
Ratio
a:b is 2:3 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 4:6:15
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5.
Statistics
Find the mean, median and range of: 60, 59, 58, 62, 100, 67, 87, 21, 28. Give your answer to 2 decimal places
Answer: Mean = 60.22, Median = 60, Range = 79