Change pack
Capstone
Jun 19 - 25
25 questions
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1.
Number
Simplify: √500
Answer: 10√5
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2.
Algebra
Complete the square: 3x² + 36x - 10
Answer: 3(x + 6)² - 118
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3.
Geometry
Find area of triangle: a = 26cm, b = 21cm, angle = 60°. Give your answer to 2 decimal places
Answer: 236.42cm²
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4.
Ratio
a:b is 1:9 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 8:72:27
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5.
Statistics
Find the mean, median and range of: 49, 57, 55, 89, 71, 30, 60. Give your answer to 2 decimal places
Answer: Mean = 58.71, Median = 57, Range = 59
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1.
Number
Simplify: √605
Answer: 11√5
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2.
Algebra
Complete the square: x² + 5x
Answer: (x + 5⁄2)² - 25⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 30cm, angle = 49°. Give your answer to 2 decimal places
Answer: 316.98cm²
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4.
Ratio
a:b is 1:7 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 9:63:56
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5.
Statistics
Find the mean, median and range of: 100, 19, 10, 67, 28, 98, 59. Give your answer to 2 decimal places
Answer: Mean = 54.43, Median = 59, Range = 90
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1.
Number
Simplify: √294
Answer: 7√6
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2.
Algebra
Complete the square: 2x² + 4x - 5
Answer: 2(x + 1)² - 7
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3.
Geometry
Find area of triangle: a = 26cm, b = 17cm, angle = 43°. Give your answer to 2 decimal places
Answer: 150.72cm²
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4.
Ratio
a:b is 8:5 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 32:20:25
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5.
Statistics
Find the mean, median and range of: 95, 94, 48, 20, 10, 43, 66, 26, 78. Give your answer to 2 decimal places
Answer: Mean = 53.33, Median = 48, Range = 85
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1.
Number
Simplify: √320
Answer: 8√5
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2.
Algebra
Complete the square: x² - 3x + 1
Answer: (x - 3⁄2)² - 5⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 20cm, angle = 57°. Give your answer to 2 decimal places
Answer: 167.73cm²
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4.
Ratio
a:b is 8:5 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 16:10:25
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5.
Statistics
Find the mean, median and range of: 99, 38, 97, 30, 74, 55, 70, 95
Answer: Mean = 69.75, Median = 72, Range = 69
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1.
Number
Simplify: √896
Answer: 8√14
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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 = 14cm, b = 19cm, angle = 70°. Give your answer to 2 decimal places
Answer: 124.98cm²
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4.
Ratio
a:b is 7:3 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 14:6:3
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5.
Statistics
Find the mean, median and range of: 35, 90, 54, 77, 18, 28, 12, 59, 95
Answer: Mean = 52, Median = 54, Range = 83