Change pack
Capstone
Jul 10 - 16
25 questions
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: x² - 7x + 5
Answer: (x - 7⁄2)² - 29⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 20cm, angle = 63°. Give your answer to 2 decimal places
Answer: 258.39cm²
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4.
Ratio
a:b is 7:6 and b:c is 4:1. Find a:b:c in its simplest form.
Answer: 14:12:3
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5.
Statistics
Find the mean, median and range of: 46, 100, 81, 48, 39, 72, 10, 24
Answer: Mean = 52.5, Median = 47, Range = 90
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1.
Number
Simplify: √550
Answer: 5√22
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2.
Algebra
Complete the square: x² - 5x + 3
Answer: (x - 5⁄2)² - 13⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 26cm, angle = 44°. Give your answer to 2 decimal places
Answer: 117.4cm²
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4.
Ratio
a:b is 9:4 and b:c is 9:1. Find a:b:c in its simplest form.
Answer: 81:36:4
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5.
Statistics
Find the mean, median and range of: 14, 34, 41, 25, 33, 71, 54, 76, 21
Answer: Mean = 41, Median = 34, Range = 62
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1.
Number
Simplify: √50
Answer: 5√2
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2.
Algebra
Complete the square: x² + 3x + 9
Answer: (x + 3⁄2)² + 27⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 25cm, angle = 68°. Give your answer to 2 decimal places
Answer: 243.39cm²
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4.
Ratio
a:b is 1:9 and b:c is 8:9. Find a:b:c in its simplest form.
Answer: 8:72:81
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5.
Statistics
Find the mean, median and range of: 81, 73, 70, 52, 50, 77, 51. Give your answer to 2 decimal places
Answer: Mean = 64.86, Median = 70, Range = 31
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1.
Number
Simplify: 5√20
Answer: 10√5
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2.
Algebra
Complete the square: 3x² + 12x - 3
Answer: 3(x + 2)² - 15
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3.
Geometry
Find area of triangle: a = 27cm, b = 14cm, angle = 68°. Give your answer to 2 decimal places
Answer: 175.24cm²
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4.
Ratio
a:b is 1:7 and b:c is 9:4. Find a:b:c in its simplest form.
Answer: 9:63:28
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5.
Statistics
Find the mean, median and range of: 27, 28, 19, 57, 47, 74, 57. Give your answer to 2 decimal places
Answer: Mean = 44.14, Median = 47, Range = 55
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1.
Number
Simplify: √294
Answer: 7√6
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2.
Algebra
Complete the square: 2x² + 24x - 3
Answer: 2(x + 6)² - 75
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3.
Geometry
Find area of triangle: a = 19cm, b = 14cm, angle = 71°. Give your answer to 2 decimal places
Answer: 125.75cm²
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4.
Ratio
a:b is 8:9 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 56:63:27
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5.
Statistics
Find the mean, median and range of: 50, 30, 52, 60, 61, 35, 47, 61, 31. Give your answer to 2 decimal places
Answer: Mean = 47.44, Median = 50, Range = 31