Change pack
Capstone
Feb 1 - 7
25 questions
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1.
Number
Simplify: √637
Answer: 7√13
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2.
Algebra
Complete the square: 4x² - 16x + 9
Answer: 4(x - 2)² - 7
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3.
Geometry
Find area of triangle: a = 19cm, b = 20cm, angle = 47°. Give your answer to 2 decimal places
Answer: 138.96cm²
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4.
Ratio
a:b is 7:2 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 49:14:4
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5.
Statistics
Find the mean, median and range of: 49, 61, 22, 73, 54, 20, 15, 80
Answer: Mean = 46.75, Median = 51.5, Range = 65
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1.
Number
Simplify: 2√90
Answer: 6√10
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2.
Algebra
Complete the square: 2x² + 4x - 1
Answer: 2(x + 1)² - 3
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3.
Geometry
Find area of triangle: a = 30cm, b = 30cm, angle = 67°. Give your answer to 2 decimal places
Answer: 414.23cm²
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4.
Ratio
a:b is 9:7 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 81:63:7
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5.
Statistics
Find the mean, median and range of: 24, 66, 42, 96, 78, 61, 12. Give your answer to 2 decimal places
Answer: Mean = 54.14, Median = 61, Range = 84
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1.
Number
Simplify: √396
Answer: 6√11
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2.
Algebra
Complete the square: 3x² + 30x + 15
Answer: 3(x + 5)² - 60
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3.
Geometry
Find area of triangle: a = 13cm, b = 15cm, angle = 43°. Give your answer to 2 decimal places
Answer: 66.49cm²
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4.
Ratio
a:b is 9:4 and b:c is 6:7. Find a:b:c in its simplest form.
Answer: 27:12:14
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5.
Statistics
Find the mean, median and range of: 59, 67, 85, 48, 64, 96, 20, 47
Answer: Mean = 60.75, Median = 61.5, Range = 76
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1.
Number
Simplify: √500
Answer: 10√5
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2.
Algebra
Complete the square: x² + 11x + 11
Answer: (x + 11⁄2)² - 77⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 17cm, angle = 47°. Give your answer to 2 decimal places
Answer: 136.76cm²
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4.
Ratio
a:b is 9:2 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 45:10:4
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5.
Statistics
Find the mean, median and range of: 14, 19, 11, 80, 14, 36, 25. Give your answer to 2 decimal places
Answer: Mean = 28.43, Median = 19, Range = 69
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1.
Number
Simplify: √336
Answer: 4√21
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2.
Algebra
Complete the square: x² + 5x - 7
Answer: (x + 5⁄2)² - 53⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 21cm, angle = 59°. Give your answer to 2 decimal places
Answer: 225.01cm²
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4.
Ratio
a:b is 3:4 and b:c is 5:2. Find a:b:c in its simplest form.
Answer: 15:20:8
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5.
Statistics
Find the mean, median and range of: 39, 10, 26, 48, 63, 21, 58, 73, 49
Answer: Mean = 43, Median = 48, Range = 63