Change pack
Capstone
Oct 5 - 11
25 questions
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1.
Number
Simplify: √320
Answer: 8√5
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2.
Algebra
Complete the square: 2x² - 16x + 7
Answer: 2(x - 4)² - 25
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3.
Geometry
Find area of triangle: a = 27cm, b = 20cm, angle = 54°. Give your answer to 2 decimal places
Answer: 218.43cm²
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4.
Ratio
a:b is 3:2 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 9:6:10
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5.
Statistics
Find the mean, median and range of: 79, 74, 89, 82, 89, 47, 66, 76
Answer: Mean = 75.25, Median = 77.5, Range = 42
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1.
Number
Simplify: √352
Answer: 4√22
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2.
Algebra
Complete the square: 2x² + 8x + 12
Answer: 2(x + 2)² + 4
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3.
Geometry
Find area of triangle: a = 21cm, b = 15cm, angle = 57°. Give your answer to 2 decimal places
Answer: 132.09cm²
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4.
Ratio
a:b is 9:5 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 72:40:35
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5.
Statistics
Find the mean, median and range of: 89, 42, 40, 19, 45, 67, 100, 29. Give your answer to 2 decimal places
Answer: Mean = 53.88, Median = 43.5, Range = 81
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1.
Number
Simplify: 5√275
Answer: 25√11
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2.
Algebra
Complete the square: 5x² + 40x - 13
Answer: 5(x + 4)² - 93
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3.
Geometry
Find area of triangle: a = 24cm, b = 26cm, angle = 69°. Give your answer to 2 decimal places
Answer: 291.28cm²
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4.
Ratio
a:b is 7:4 and b:c is 6:7. Find a:b:c in its simplest form.
Answer: 21:12:14
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5.
Statistics
Find the mean, median and range of: 81, 58, 94, 92, 93, 95, 55. Give your answer to 2 decimal places
Answer: Mean = 81.14, Median = 92, Range = 40
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1.
Number
Simplify: √896
Answer: 8√14
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2.
Algebra
Complete the square: 2x² - 24x - 10
Answer: 2(x - 6)² - 82
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3.
Geometry
Find area of triangle: a = 15cm, b = 15cm, angle = 46°. Give your answer to 2 decimal places
Answer: 80.93cm²
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4.
Ratio
a:b is 7:9 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 49:63:45
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5.
Statistics
Find the mean, median and range of: 47, 29, 37, 80, 74, 36, 83, 90, 17. Give your answer to 2 decimal places
Answer: Mean = 54.78, Median = 47, Range = 73
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1.
Number
Simplify: 2√75
Answer: 10√3
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2.
Algebra
Complete the square: 4x² - 40x - 15
Answer: 4(x - 5)² - 115
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3.
Geometry
Find area of triangle: a = 18cm, b = 27cm, angle = 76°. Give your answer to 2 decimal places
Answer: 235.78cm²
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4.
Ratio
a:b is 5:9 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 25:45:18
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5.
Statistics
Find the mean, median and range of: 48, 24, 46, 19, 45, 44, 95, 58. Give your answer to 2 decimal places
Answer: Mean = 47.38, Median = 45.5, Range = 76