Change pack
Capstone
Dec 15 - 21
25 questions
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1.
Number
Simplify: √539
Answer: 7√11
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2.
Algebra
Complete the square: 5x² - 10x + 12
Answer: 5(x - 1)² + 7
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3.
Geometry
Find area of triangle: a = 29cm, b = 27cm, angle = 59°. Give your answer to 2 decimal places
Answer: 335.58cm²
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4.
Ratio
a:b is 9:8 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 45:40:56
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5.
Statistics
Find the mean, median and range of: 75, 99, 99, 47, 91, 59, 82, 15, 84. Give your answer to 2 decimal places
Answer: Mean = 72.33, Median = 82, Range = 84
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1.
Number
Simplify: 2√24
Answer: 4√6
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2.
Algebra
Complete the square: 3x² - 12x + 14
Answer: 3(x - 2)² + 2
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3.
Geometry
Find area of triangle: a = 26cm, b = 25cm, angle = 78°. Give your answer to 2 decimal places
Answer: 317.9cm²
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4.
Ratio
a:b is 2:5 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 18:45:20
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5.
Statistics
Find the mean, median and range of: 28, 41, 28, 39, 59, 73, 97. Give your answer to 2 decimal places
Answer: Mean = 52.14, Median = 41, Range = 69
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1.
Number
Simplify: √162
Answer: 9√2
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2.
Algebra
Complete the square: 3x² - 36x - 8
Answer: 3(x - 6)² - 116
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3.
Geometry
Find area of triangle: a = 16cm, b = 16cm, angle = 79°. Give your answer to 2 decimal places
Answer: 125.65cm²
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4.
Ratio
a:b is 5:7 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 40:56:21
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5.
Statistics
Find the mean, median and range of: 29, 76, 49, 83, 36, 81, 48. Give your answer to 2 decimal places
Answer: Mean = 57.43, Median = 49, Range = 54
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1.
Number
Simplify: 4√175
Answer: 20√7
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2.
Algebra
Complete the square: 3x² + 18x - 10
Answer: 3(x + 3)² - 37
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3.
Geometry
Find area of triangle: a = 13cm, b = 22cm, angle = 77°. Give your answer to 2 decimal places
Answer: 139.33cm²
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4.
Ratio
a:b is 3:5 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 21:35:20
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5.
Statistics
Find the mean, median and range of: 90, 51, 16, 59, 19, 72, 25, 84
Answer: Mean = 52, Median = 55, Range = 74
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1.
Number
Simplify: 5√112
Answer: 20√7
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2.
Algebra
Complete the square: 2x² + 24x + 7
Answer: 2(x + 6)² - 65
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3.
Geometry
Find area of triangle: a = 12cm, b = 17cm, angle = 42°. Give your answer to 2 decimal places
Answer: 68.25cm²
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4.
Ratio
a:b is 6:7 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 24:28:7
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5.
Statistics
Find the mean, median and range of: 58, 31, 38, 35, 53, 93, 54. Give your answer to 2 decimal places
Answer: Mean = 51.71, Median = 53, Range = 62