Change pack
Capstone
Feb 20 - 26
25 questions
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1.
Number
Simplify: √208
Answer: 4√13
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2.
Algebra
Complete the square: x² + 5x - 8
Answer: (x + 5⁄2)² - 57⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 15cm, angle = 41°. Give your answer to 2 decimal places
Answer: 83.65cm²
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4.
Ratio
a:b is 4:5 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 16:20:25
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5.
Statistics
Find the mean, median and range of: 15, 34, 49, 23, 34, 46, 67, 15, 52. Give your answer to 2 decimal places
Answer: Mean = 37.22, Median = 34, Range = 52
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1.
Number
Simplify: √48
Answer: 4√3
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2.
Algebra
Complete the square: 5x² + 20x - 14
Answer: 5(x + 2)² - 34
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3.
Geometry
Find area of triangle: a = 16cm, b = 14cm, angle = 53°. Give your answer to 2 decimal places
Answer: 89.45cm²
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4.
Ratio
a:b is 6:7 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 48:56:21
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5.
Statistics
Find the mean, median and range of: 11, 52, 64, 67, 59, 52, 87, 35. Give your answer to 2 decimal places
Answer: Mean = 53.38, Median = 55.5, Range = 76
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1.
Number
Simplify: √150
Answer: 5√6
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2.
Algebra
Complete the square: 3x² + 18x - 14
Answer: 3(x + 3)² - 41
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3.
Geometry
Find area of triangle: a = 30cm, b = 28cm, angle = 71°. Give your answer to 2 decimal places
Answer: 397.12cm²
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4.
Ratio
a:b is 2:9 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 10:45:36
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5.
Statistics
Find the mean, median and range of: 52, 14, 55, 83, 80, 98, 38, 100, 32. Give your answer to 2 decimal places
Answer: Mean = 61.33, Median = 55, Range = 86
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1.
Number
Simplify: 2√54
Answer: 6√6
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2.
Algebra
Complete the square: 4x² + 16x + 11
Answer: 4(x + 2)² - 5
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3.
Geometry
Find area of triangle: a = 26cm, b = 14cm, angle = 62°. Give your answer to 2 decimal places
Answer: 160.7cm²
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4.
Ratio
a:b is 4:7 and b:c is 6:7. Find a:b:c in its simplest form.
Answer: 24:42:49
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5.
Statistics
Find the mean, median and range of: 44, 10, 52, 90, 10, 70, 86. Give your answer to 2 decimal places
Answer: Mean = 51.71, Median = 52, Range = 80
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1.
Number
Simplify: √792
Answer: 6√22
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2.
Algebra
Complete the square: x² + 3x - 7
Answer: (x + 3⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 27cm, b = 30cm, angle = 73°. Give your answer to 2 decimal places
Answer: 387.3cm²
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4.
Ratio
a:b is 3:5 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 21:35:15
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5.
Statistics
Find the mean, median and range of: 34, 69, 29, 33, 75, 85, 20, 55
Answer: Mean = 50, Median = 44.5, Range = 65