Change pack
Capstone
May 25 - 31
25 questions
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1.
Number
Simplify: 5√160
Answer: 20√10
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2.
Algebra
Complete the square: 3x² + 6x - 2
Answer: 3(x + 1)² - 5
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3.
Geometry
Find area of triangle: a = 18cm, b = 26cm, angle = 43°. Give your answer to 2 decimal places
Answer: 159.59cm²
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4.
Ratio
a:b is 1:6 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 7:42:54
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5.
Statistics
Find the mean, median and range of: 70, 51, 46, 74, 73, 62, 67, 40, 77. Give your answer to 2 decimal places
Answer: Mean = 62.22, Median = 67, Range = 37
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1.
Number
Simplify: √147
Answer: 7√3
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2.
Algebra
Complete the square: x² + x + 6
Answer: (x + 1⁄2)² + 23⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 18cm, angle = 40°. Give your answer to 2 decimal places
Answer: 75.21cm²
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4.
Ratio
a:b is 4:3 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 16:12:15
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5.
Statistics
Find the mean, median and range of: 97, 84, 69, 40, 78, 97, 54. Give your answer to 2 decimal places
Answer: Mean = 74.14, Median = 78, Range = 57
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: 2x² + 4x - 9
Answer: 2(x + 1)² - 11
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3.
Geometry
Find area of triangle: a = 16cm, b = 20cm, angle = 41°. Give your answer to 2 decimal places
Answer: 104.97cm²
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4.
Ratio
a:b is 7:3 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 56:24:21
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5.
Statistics
Find the mean, median and range of: 78, 52, 100, 96, 92, 15, 89, 12, 40. Give your answer to 2 decimal places
Answer: Mean = 63.78, Median = 78, Range = 88
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1.
Number
Simplify: 4√160
Answer: 16√10
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2.
Algebra
Complete the square: 5x² - 60x + 12
Answer: 5(x - 6)² - 168
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3.
Geometry
Find area of triangle: a = 14cm, b = 14cm, angle = 80°. Give your answer to 2 decimal places
Answer: 96.51cm²
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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: 44, 44, 37, 35, 67, 74, 58, 98. Give your answer to 2 decimal places
Answer: Mean = 57.13, Median = 51, Range = 63
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1.
Number
Simplify: 4√175
Answer: 20√7
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2.
Algebra
Complete the square: x² - 7x + 10
Answer: (x - 7⁄2)² - 9⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 27cm, angle = 63°. Give your answer to 2 decimal places
Answer: 144.34cm²
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4.
Ratio
a:b is 8:9 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 56:63:81
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5.
Statistics
Find the mean, median and range of: 96, 61, 93, 33, 34, 10, 83. Give your answer to 2 decimal places
Answer: Mean = 58.57, Median = 61, Range = 86