Change pack
Capstone
Jul 28 - Aug 3
25 questions
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1.
Number
Simplify: 4√28
Answer: 8√7
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2.
Algebra
Complete the square: 2x² + 16x - 15
Answer: 2(x + 4)² - 47
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3.
Geometry
Find area of triangle: a = 29cm, b = 28cm, angle = 73°. Give your answer to 2 decimal places
Answer: 388.26cm²
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4.
Ratio
a:b is 8:5 and b:c is 8:5. Find a:b:c in its simplest form.
Answer: 64:40:25
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5.
Statistics
Find the mean, median and range of: 17, 14, 14, 35, 35, 84, 89. Give your answer to 2 decimal places
Answer: Mean = 41.14, Median = 35, Range = 75
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1.
Number
Simplify: √200
Answer: 10√2
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2.
Algebra
Complete the square: 3x² + 24x + 15
Answer: 3(x + 4)² - 33
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3.
Geometry
Find area of triangle: a = 28cm, b = 20cm, angle = 79°. Give your answer to 2 decimal places
Answer: 274.86cm²
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4.
Ratio
a:b is 5:4 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 15:12:20
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5.
Statistics
Find the mean, median and range of: 54, 30, 66, 84, 12, 49, 92, 60, 55. Give your answer to 2 decimal places
Answer: Mean = 55.78, Median = 55, Range = 80
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1.
Number
Simplify: √756
Answer: 6√21
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2.
Algebra
Complete the square: x² + 11x - 6
Answer: (x + 11⁄2)² - 145⁄4
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3.
Geometry
Find area of triangle: a = 14cm, b = 15cm, angle = 45°. Give your answer to 2 decimal places
Answer: 74.25cm²
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4.
Ratio
a:b is 9:4 and b:c is 7:6. Find a:b:c in its simplest form.
Answer: 63:28:24
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5.
Statistics
Find the mean, median and range of: 33, 41, 71, 37, 26, 60, 74, 12
Answer: Mean = 44.25, Median = 39, Range = 62
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1.
Number
Simplify: 5√24
Answer: 10√6
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2.
Algebra
Complete the square: 2x² - 24x - 6
Answer: 2(x - 6)² - 78
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3.
Geometry
Find area of triangle: a = 18cm, b = 22cm, angle = 45°. Give your answer to 2 decimal places
Answer: 140.01cm²
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4.
Ratio
a:b is 1:6 and b:c is 7:8. Find a:b:c in its simplest form.
Answer: 7:42:48
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5.
Statistics
Find the mean, median and range of: 85, 45, 11, 95, 57, 36, 81, 44, 99. Give your answer to 2 decimal places
Answer: Mean = 61.44, Median = 57, Range = 88
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1.
Number
Simplify: √128
Answer: 8√2
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2.
Algebra
Complete the square: 5x² - 10x + 11
Answer: 5(x - 1)² + 6
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3.
Geometry
Find area of triangle: a = 17cm, b = 18cm, angle = 76°. Give your answer to 2 decimal places
Answer: 148.46cm²
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4.
Ratio
a:b is 7:5 and b:c is 4:5. Find a:b:c in its simplest form.
Answer: 28:20:25
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5.
Statistics
Find the mean, median and range of: 64, 91, 17, 64, 67, 40, 60, 56. Give your answer to 2 decimal places
Answer: Mean = 57.38, Median = 62, Range = 74