Change pack
Capstone
Mar 25 - 31
25 questions
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1.
Number
Simplify: 4√90
Answer: 12√10
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2.
Algebra
Complete the square: 5x² - 30x + 10
Answer: 5(x - 3)² - 35
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3.
Geometry
Find area of triangle: a = 12cm, b = 23cm, angle = 59°. Give your answer to 2 decimal places
Answer: 118.29cm²
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4.
Ratio
a:b is 5:9 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 10:18:45
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5.
Statistics
Find the mean, median and range of: 55, 94, 29, 26, 36, 100, 58. Give your answer to 2 decimal places
Answer: Mean = 56.86, Median = 55, Range = 74
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1.
Number
Simplify: √325
Answer: 5√13
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2.
Algebra
Complete the square: x² - 3x + 3
Answer: (x - 3⁄2)² + 3⁄4
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3.
Geometry
Find area of triangle: a = 26cm, b = 25cm, angle = 60°. Give your answer to 2 decimal places
Answer: 281.46cm²
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4.
Ratio
a:b is 9:8 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 27:24:40
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5.
Statistics
Find the mean, median and range of: 35, 80, 30, 100, 67, 27, 46, 44, 24. Give your answer to 2 decimal places
Answer: Mean = 50.33, Median = 44, Range = 76
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1.
Number
Simplify: 3√112
Answer: 12√7
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2.
Algebra
Complete the square: 2x² + 12x + 3
Answer: 2(x + 3)² - 15
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3.
Geometry
Find area of triangle: a = 19cm, b = 17cm, angle = 70°. Give your answer to 2 decimal places
Answer: 151.76cm²
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4.
Ratio
a:b is 7:4 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 35:20:28
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5.
Statistics
Find the mean, median and range of: 55, 73, 87, 26, 67, 38, 29. Give your answer to 2 decimal places
Answer: Mean = 53.57, Median = 55, Range = 61
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1.
Number
Simplify: 4√40
Answer: 8√10
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2.
Algebra
Complete the square: 2x² - 4x - 7
Answer: 2(x - 1)² - 9
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3.
Geometry
Find area of triangle: a = 28cm, b = 22cm, angle = 48°. Give your answer to 2 decimal places
Answer: 228.89cm²
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4.
Ratio
a:b is 5:8 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 25:40:56
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5.
Statistics
Find the mean, median and range of: 79, 16, 23, 97, 11, 78, 38, 74
Answer: Mean = 52, Median = 56, Range = 86
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1.
Number
Simplify: √704
Answer: 8√11
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2.
Algebra
Complete the square: x² + 5x - 6
Answer: (x + 5⁄2)² - 49⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 14cm, angle = 76°. Give your answer to 2 decimal places
Answer: 169.8cm²
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4.
Ratio
a:b is 2:9 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 14:63:72
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5.
Statistics
Find the mean, median and range of: 62, 48, 37, 88, 73, 90, 32. Give your answer to 2 decimal places
Answer: Mean = 61.43, Median = 62, Range = 58