Change pack
Capstone
May 13 - 19
25 questions
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1.
Number
Simplify: √810
Answer: 9√10
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2.
Algebra
Complete the square: 2x² + 4x - 11
Answer: 2(x + 1)² - 13
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3.
Geometry
Find area of triangle: a = 19cm, b = 16cm, angle = 41°. Give your answer to 2 decimal places
Answer: 99.72cm²
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4.
Ratio
a:b is 3:4 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 21:28:8
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5.
Statistics
Find the mean, median and range of: 60, 39, 82, 31, 90, 77, 37, 38
Answer: Mean = 56.75, Median = 49.5, Range = 59
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1.
Number
Simplify: √605
Answer: 11√5
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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 = 19cm, b = 30cm, angle = 72°. Give your answer to 2 decimal places
Answer: 271.05cm²
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4.
Ratio
a:b is 9:2 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 81:18:4
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5.
Statistics
Find the mean, median and range of: 12, 63, 59, 22, 27, 66, 82, 52, 47. Give your answer to 2 decimal places
Answer: Mean = 47.78, Median = 52, Range = 70
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1.
Number
Simplify: √224
Answer: 4√14
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2.
Algebra
Complete the square: 2x² - 8x + 10
Answer: 2(x - 2)² + 2
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3.
Geometry
Find area of triangle: a = 21cm, b = 24cm, angle = 55°. Give your answer to 2 decimal places
Answer: 206.43cm²
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4.
Ratio
a:b is 1:8 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 9:72:40
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5.
Statistics
Find the mean, median and range of: 96, 72, 25, 22, 54, 98, 69, 49, 22. Give your answer to 2 decimal places
Answer: Mean = 56.33, Median = 54, Range = 76
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1.
Number
Simplify: √833
Answer: 7√17
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2.
Algebra
Complete the square: x² + 3x + 11
Answer: (x + 3⁄2)² + 35⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 19cm, angle = 77°. Give your answer to 2 decimal places
Answer: 120.33cm²
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4.
Ratio
a:b is 8:3 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 40:15:9
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5.
Statistics
Find the mean, median and range of: 53, 84, 13, 92, 80, 43, 83
Answer: Mean = 64, Median = 80, Range = 79
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1.
Number
Simplify: 5√160
Answer: 20√10
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2.
Algebra
Complete the square: 4x² - 32x - 1
Answer: 4(x - 4)² - 65
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3.
Geometry
Find area of triangle: a = 27cm, b = 17cm, angle = 72°. Give your answer to 2 decimal places
Answer: 218.27cm²
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4.
Ratio
a:b is 3:5 and b:c is 9:5. Find a:b:c in its simplest form.
Answer: 27:45:25
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5.
Statistics
Find the mean, median and range of: 72, 29, 73, 81, 14, 33, 33, 72. Give your answer to 2 decimal places
Answer: Mean = 50.88, Median = 52.5, Range = 67