Change pack
Capstone
Aug 31 - Sep 6
25 questions
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1.
Number
Simplify: √128
Answer: 8√2
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2.
Algebra
Complete the square: x² - 3x - 9
Answer: (x - 3⁄2)² - 45⁄4
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3.
Geometry
Find area of triangle: a = 18cm, b = 26cm, angle = 61°. Give your answer to 2 decimal places
Answer: 204.66cm²
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4.
Ratio
a:b is 4:9 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 28:63:81
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5.
Statistics
Find the mean, median and range of: 70, 64, 65, 55, 81, 47, 85, 100, 26. Give your answer to 2 decimal places
Answer: Mean = 65.89, Median = 65, Range = 74
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1.
Number
Simplify: √525
Answer: 5√21
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2.
Algebra
Complete the square: x² - x - 1
Answer: (x - 1⁄2)² - 5⁄4
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3.
Geometry
Find area of triangle: a = 21cm, b = 23cm, angle = 75°. Give your answer to 2 decimal places
Answer: 233.27cm²
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4.
Ratio
a:b is 5:3 and b:c is 2:1. Find a:b:c in its simplest form.
Answer: 10:6:3
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5.
Statistics
Find the mean, median and range of: 93, 34, 51, 49, 62, 43, 99, 84, 69. Give your answer to 2 decimal places
Answer: Mean = 64.89, Median = 62, Range = 65
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1.
Number
Simplify: √600
Answer: 10√6
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2.
Algebra
Complete the square: 5x² + 60x - 8
Answer: 5(x + 6)² - 188
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3.
Geometry
Find area of triangle: a = 16cm, b = 24cm, angle = 58°. Give your answer to 2 decimal places
Answer: 162.83cm²
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4.
Ratio
a:b is 4:5 and b:c is 3:5. Find a:b:c in its simplest form.
Answer: 12:15:25
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5.
Statistics
Find the mean, median and range of: 99, 15, 59, 23, 31, 44, 13. Give your answer to 2 decimal places
Answer: Mean = 40.57, Median = 31, Range = 86
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1.
Number
Simplify: √288
Answer: 12√2
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2.
Algebra
Complete the square: 3x² - 18x - 11
Answer: 3(x - 3)² - 38
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3.
Geometry
Find area of triangle: a = 19cm, b = 14cm, angle = 40°. Give your answer to 2 decimal places
Answer: 85.49cm²
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4.
Ratio
a:b is 7:8 and b:c is 3:2. Find a:b:c in its simplest form.
Answer: 21:24:16
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5.
Statistics
Find the mean, median and range of: 71, 19, 88, 19, 56, 23, 76, 100, 61
Answer: Mean = 57, Median = 61, Range = 81
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: 4x² - 48x + 8
Answer: 4(x - 6)² - 136
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3.
Geometry
Find area of triangle: a = 25cm, b = 27cm, angle = 55°. Give your answer to 2 decimal places
Answer: 276.46cm²
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4.
Ratio
a:b is 4:5 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 32:40:35
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5.
Statistics
Find the mean, median and range of: 52, 72, 81, 86, 67, 76, 84, 71. Give your answer to 2 decimal places
Answer: Mean = 73.63, Median = 74, Range = 34