Change pack
Capstone
Aug 21 - 27
25 questions
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1.
Number
Simplify: √150
Answer: 5√6
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2.
Algebra
Complete the square: 2x² + 24x - 14
Answer: 2(x + 6)² - 86
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3.
Geometry
Find area of triangle: a = 15cm, b = 14cm, angle = 69°. Give your answer to 2 decimal places
Answer: 98.03cm²
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4.
Ratio
a:b is 8:9 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 16:18:63
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5.
Statistics
Find the mean, median and range of: 63, 41, 26, 26, 62, 93, 86. Give your answer to 2 decimal places
Answer: Mean = 56.71, Median = 62, Range = 67
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1.
Number
Simplify: √320
Answer: 8√5
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2.
Algebra
Complete the square: 5x² + 30x + 5
Answer: 5(x + 3)² - 40
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3.
Geometry
Find area of triangle: a = 25cm, b = 26cm, angle = 53°. Give your answer to 2 decimal places
Answer: 259.56cm²
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4.
Ratio
a:b is 8:9 and b:c is 8:1. Find a:b:c in its simplest form.
Answer: 64:72:9
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5.
Statistics
Find the mean, median and range of: 25, 46, 55, 45, 48, 86, 44, 91, 47. Give your answer to 2 decimal places
Answer: Mean = 54.11, Median = 47, Range = 66
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1.
Number
Simplify: √108
Answer: 6√3
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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 = 16cm, angle = 77°. Give your answer to 2 decimal places
Answer: 132.51cm²
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4.
Ratio
a:b is 5:6 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 10:12:21
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5.
Statistics
Find the mean, median and range of: 85, 67, 15, 92, 29, 27, 36, 67, 41
Answer: Mean = 51, Median = 41, Range = 77
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1.
Number
Simplify: 5√18
Answer: 15√2
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2.
Algebra
Complete the square: 3x² + 18x + 1
Answer: 3(x + 3)² - 26
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3.
Geometry
Find area of triangle: a = 22cm, b = 17cm, angle = 57°. Give your answer to 2 decimal places
Answer: 156.83cm²
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4.
Ratio
a:b is 7:9 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 56:72:27
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5.
Statistics
Find the mean, median and range of: 21, 94, 97, 52, 65, 30, 32. Give your answer to 2 decimal places
Answer: Mean = 55.86, Median = 52, Range = 76
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1.
Number
Simplify: √242
Answer: 11√2
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2.
Algebra
Complete the square: 4x² - 24x - 3
Answer: 4(x - 3)² - 39
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3.
Geometry
Find area of triangle: a = 27cm, b = 13cm, angle = 65°. Give your answer to 2 decimal places
Answer: 159.06cm²
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4.
Ratio
a:b is 1:9 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 7:63:81
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5.
Statistics
Find the mean, median and range of: 36, 41, 77, 12, 49, 90, 78, 69
Answer: Mean = 56.5, Median = 59, Range = 78