Change pack
Capstone
Jul 7 - 13
25 questions
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1.
Number
Simplify: 3√275
Answer: 15√11
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2.
Algebra
Complete the square: 4x² - 16x - 5
Answer: 4(x - 2)² - 21
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3.
Geometry
Find area of triangle: a = 23cm, b = 13cm, angle = 58°. Give your answer to 2 decimal places
Answer: 126.78cm²
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4.
Ratio
a:b is 9:5 and b:c is 2:7. Find a:b:c in its simplest form.
Answer: 18:10:35
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5.
Statistics
Find the mean, median and range of: 99, 76, 45, 31, 16, 16, 90. Give your answer to 2 decimal places
Answer: Mean = 53.29, Median = 45, Range = 83
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1.
Number
Simplify: 4√40
Answer: 8√10
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2.
Algebra
Complete the square: x² + 9x + 2
Answer: (x + 9⁄2)² - 73⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 15cm, angle = 62°. Give your answer to 2 decimal places
Answer: 158.93cm²
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4.
Ratio
a:b is 4:7 and b:c is 3:4. Find a:b:c in its simplest form.
Answer: 12:21:28
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5.
Statistics
Find the mean, median and range of: 56, 31, 64, 32, 62, 14, 24, 29
Answer: Mean = 39, Median = 31.5, Range = 50
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1.
Number
Simplify: 3√63
Answer: 9√7
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2.
Algebra
Complete the square: x² - 3x + 5
Answer: (x - 3⁄2)² + 11⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 18cm, angle = 80°. Give your answer to 2 decimal places
Answer: 257.03cm²
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4.
Ratio
a:b is 7:4 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 35:20:32
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5.
Statistics
Find the mean, median and range of: 85, 19, 52, 72, 26, 59, 99, 76, 13. Give your answer to 2 decimal places
Answer: Mean = 55.67, Median = 59, Range = 86
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1.
Number
Simplify: √425
Answer: 5√17
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2.
Algebra
Complete the square: x² - x + 7
Answer: (x - 1⁄2)² + 27⁄4
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3.
Geometry
Find area of triangle: a = 17cm, b = 21cm, angle = 76°. Give your answer to 2 decimal places
Answer: 173.2cm²
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4.
Ratio
a:b is 1:6 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 2:12:21
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5.
Statistics
Find the mean, median and range of: 40, 53, 40, 17, 50, 90, 98, 93. Give your answer to 2 decimal places
Answer: Mean = 60.13, Median = 51.5, Range = 81
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1.
Number
Simplify: √756
Answer: 6√21
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2.
Algebra
Complete the square: x² + 7x + 3
Answer: (x + 7⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 13cm, b = 19cm, angle = 62°. Give your answer to 2 decimal places
Answer: 109.04cm²
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4.
Ratio
a:b is 2:9 and b:c is 7:2. Find a:b:c in its simplest form.
Answer: 14:63:18
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5.
Statistics
Find the mean, median and range of: 23, 74, 91, 23, 55, 47, 80, 61, 13. Give your answer to 2 decimal places
Answer: Mean = 51.89, Median = 55, Range = 78