Change pack
Capstone
Aug 8 - 14
25 questions
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1.
Number
Simplify: √72
Answer: 6√2
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2.
Algebra
Complete the square: 5x² + 60x - 2
Answer: 5(x + 6)² - 182
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3.
Geometry
Find area of triangle: a = 30cm, b = 28cm, angle = 65°. Give your answer to 2 decimal places
Answer: 380.65cm²
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4.
Ratio
a:b is 8:9 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 40:45:54
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5.
Statistics
Find the mean, median and range of: 37, 65, 72, 97, 45, 68, 65. Give your answer to 2 decimal places
Answer: Mean = 64.14, Median = 65, Range = 60
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1.
Number
Simplify: 2√175
Answer: 10√7
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2.
Algebra
Complete the square: 4x² - 24x + 6
Answer: 4(x - 3)² - 30
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3.
Geometry
Find area of triangle: a = 13cm, b = 19cm, angle = 49°. Give your answer to 2 decimal places
Answer: 93.21cm²
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4.
Ratio
a:b is 9:7 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 72:56:35
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5.
Statistics
Find the mean, median and range of: 14, 38, 84, 90, 55, 89, 68, 94, 26
Answer: Mean = 62, Median = 68, Range = 80
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1.
Number
Simplify: 4√48
Answer: 16√3
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2.
Algebra
Complete the square: x² + 9x - 3
Answer: (x + 9⁄2)² - 93⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 20cm, angle = 57°. Give your answer to 2 decimal places
Answer: 142.57cm²
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4.
Ratio
a:b is 8:3 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 56:21:27
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5.
Statistics
Find the mean, median and range of: 44, 14, 90, 18, 40, 73, 53, 62, 12. Give your answer to 2 decimal places
Answer: Mean = 45.11, Median = 44, Range = 78
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1.
Number
Simplify: √448
Answer: 8√7
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2.
Algebra
Complete the square: x² + 7x + 11
Answer: (x + 7⁄2)² - 5⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 27cm, angle = 43°. Give your answer to 2 decimal places
Answer: 230.17cm²
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4.
Ratio
a:b is 5:4 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 35:28:12
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5.
Statistics
Find the mean, median and range of: 54, 58, 34, 90, 39, 93, 22, 42
Answer: Mean = 54, Median = 48, Range = 71
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1.
Number
Simplify: √792
Answer: 6√22
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2.
Algebra
Complete the square: 3x² + 6x - 5
Answer: 3(x + 1)² - 8
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3.
Geometry
Find area of triangle: a = 27cm, b = 28cm, angle = 72°. Give your answer to 2 decimal places
Answer: 359.5cm²
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4.
Ratio
a:b is 7:9 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 28:36:63
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5.
Statistics
Find the mean, median and range of: 58, 37, 41, 39, 50, 16, 81
Answer: Mean = 46, Median = 41, Range = 65