Change pack
Capstone
Mar 13 - 19
25 questions
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1.
Number
Simplify: 5√28
Answer: 10√7
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2.
Algebra
Complete the square: 5x² - 30x - 12
Answer: 5(x - 3)² - 57
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3.
Geometry
Find area of triangle: a = 21cm, b = 30cm, angle = 65°. Give your answer to 2 decimal places
Answer: 285.49cm²
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4.
Ratio
a:b is 2:7 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 4:14:49
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5.
Statistics
Find the mean, median and range of: 14, 31, 76, 29, 65, 86, 51, 53. Give your answer to 2 decimal places
Answer: Mean = 50.63, Median = 52, Range = 72
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1.
Number
Simplify: 4√175
Answer: 20√7
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2.
Algebra
Complete the square: x² - 5x + 7
Answer: (x - 5⁄2)² + 3⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 15cm, angle = 58°. Give your answer to 2 decimal places
Answer: 101.77cm²
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4.
Ratio
a:b is 6:5 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 48:40:15
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5.
Statistics
Find the mean, median and range of: 48, 32, 16, 74, 95, 74, 69, 68
Answer: Mean = 59.5, Median = 68.5, Range = 79
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1.
Number
Simplify: √125
Answer: 5√5
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2.
Algebra
Complete the square: 2x² + 4x + 14
Answer: 2(x + 1)² + 12
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3.
Geometry
Find area of triangle: a = 29cm, b = 21cm, angle = 43°. Give your answer to 2 decimal places
Answer: 207.67cm²
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4.
Ratio
a:b is 7:2 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 49:14:8
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5.
Statistics
Find the mean, median and range of: 57, 35, 91, 36, 33, 27, 15, 44, 74. Give your answer to 2 decimal places
Answer: Mean = 45.78, Median = 36, Range = 76
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1.
Number
Simplify: √96
Answer: 4√6
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2.
Algebra
Complete the square: 4x² + 24x - 12
Answer: 4(x + 3)² - 48
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3.
Geometry
Find area of triangle: a = 19cm, b = 17cm, angle = 50°. Give your answer to 2 decimal places
Answer: 123.72cm²
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4.
Ratio
a:b is 2:7 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 6:21:49
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5.
Statistics
Find the mean, median and range of: 57, 79, 72, 85, 42, 64, 44, 38. Give your answer to 2 decimal places
Answer: Mean = 60.13, Median = 60.5, Range = 47
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1.
Number
Simplify: √245
Answer: 7√5
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2.
Algebra
Complete the square: 4x² - 8x + 7
Answer: 4(x - 1)² + 3
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3.
Geometry
Find area of triangle: a = 22cm, b = 27cm, angle = 75°. Give your answer to 2 decimal places
Answer: 286.88cm²
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4.
Ratio
a:b is 7:5 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 49:35:5
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5.
Statistics
Find the mean, median and range of: 38, 22, 53, 24, 79, 40, 30, 13, 75. Give your answer to 2 decimal places
Answer: Mean = 41.56, Median = 38, Range = 66