Change pack
Capstone
May 21 - 27
25 questions
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1.
Number
Simplify: √1000
Answer: 10√10
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2.
Algebra
Complete the square: 2x² - 4x - 3
Answer: 2(x - 1)² - 5
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3.
Geometry
Find area of triangle: a = 25cm, b = 23cm, angle = 41°. Give your answer to 2 decimal places
Answer: 188.62cm²
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4.
Ratio
a:b is 7:5 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 63:45:5
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5.
Statistics
Find the mean, median and range of: 35, 47, 33, 37, 87, 49, 50. Give your answer to 2 decimal places
Answer: Mean = 48.29, Median = 47, Range = 54
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1.
Number
Simplify: √300
Answer: 10√3
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2.
Algebra
Complete the square: 2x² - 4x - 15
Answer: 2(x - 1)² - 17
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3.
Geometry
Find area of triangle: a = 30cm, b = 25cm, angle = 66°. Give your answer to 2 decimal places
Answer: 342.58cm²
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4.
Ratio
a:b is 4:3 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 28:21:6
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5.
Statistics
Find the mean, median and range of: 68, 81, 99, 39, 65, 67, 93, 83, 42. Give your answer to 2 decimal places
Answer: Mean = 70.78, Median = 68, Range = 60
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1.
Number
Simplify: 2√50
Answer: 10√2
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2.
Algebra
Complete the square: 3x² - 24x + 9
Answer: 3(x - 4)² - 39
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3.
Geometry
Find area of triangle: a = 20cm, b = 14cm, angle = 42°. Give your answer to 2 decimal places
Answer: 93.68cm²
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4.
Ratio
a:b is 2:9 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 4:18:45
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5.
Statistics
Find the mean, median and range of: 43, 56, 40, 26, 13, 58, 23, 87
Answer: Mean = 43.25, Median = 41.5, Range = 74
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1.
Number
Simplify: √720
Answer: 12√5
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2.
Algebra
Complete the square: 3x² - 18x + 11
Answer: 3(x - 3)² - 16
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3.
Geometry
Find area of triangle: a = 18cm, b = 24cm, angle = 49°. Give your answer to 2 decimal places
Answer: 163.02cm²
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4.
Ratio
a:b is 8:9 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 40:45:54
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5.
Statistics
Find the mean, median and range of: 84, 25, 43, 68, 78, 43, 85. Give your answer to 2 decimal places
Answer: Mean = 60.86, Median = 68, Range = 60
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1.
Number
Simplify: √384
Answer: 8√6
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2.
Algebra
Complete the square: 3x² + 24x - 4
Answer: 3(x + 4)² - 52
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3.
Geometry
Find area of triangle: a = 24cm, b = 14cm, angle = 53°. Give your answer to 2 decimal places
Answer: 134.17cm²
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4.
Ratio
a:b is 3:4 and b:c is 3:7. Find a:b:c in its simplest form.
Answer: 9:12:28
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5.
Statistics
Find the mean, median and range of: 81, 43, 14, 40, 28, 85, 99, 63, 64. Give your answer to 2 decimal places
Answer: Mean = 57.44, Median = 63, Range = 85