Change pack
Capstone
Jul 2 - 8
25 questions
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1.
Number
Simplify: 3√175
Answer: 15√7
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2.
Algebra
Complete the square: 4x² - 8x + 9
Answer: 4(x - 1)² + 5
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3.
Geometry
Find area of triangle: a = 16cm, b = 22cm, angle = 59°. Give your answer to 2 decimal places
Answer: 150.86cm²
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4.
Ratio
a:b is 9:7 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 27:21:56
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5.
Statistics
Find the mean, median and range of: 83, 99, 67, 56, 95, 52, 99, 77, 85. Give your answer to 2 decimal places
Answer: Mean = 79.22, Median = 83, Range = 47
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1.
Number
Simplify: √384
Answer: 8√6
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2.
Algebra
Complete the square: 3x² - 12x + 1
Answer: 3(x - 2)² - 11
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3.
Geometry
Find area of triangle: a = 24cm, b = 18cm, angle = 60°. Give your answer to 2 decimal places
Answer: 187.06cm²
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4.
Ratio
a:b is 1:6 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 5:30:6
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5.
Statistics
Find the mean, median and range of: 92, 67, 69, 30, 18, 63, 94. Give your answer to 2 decimal places
Answer: Mean = 61.86, Median = 67, Range = 76
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1.
Number
Simplify: √50
Answer: 5√2
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2.
Algebra
Complete the square: 4x² + 40x - 6
Answer: 4(x + 5)² - 106
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3.
Geometry
Find area of triangle: a = 26cm, b = 25cm, angle = 56°. Give your answer to 2 decimal places
Answer: 269.44cm²
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4.
Ratio
a:b is 5:8 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 35:56:32
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5.
Statistics
Find the mean, median and range of: 17, 79, 69, 15, 24, 73, 92. Give your answer to 2 decimal places
Answer: Mean = 52.71, Median = 69, Range = 77
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1.
Number
Simplify: √540
Answer: 6√15
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2.
Algebra
Complete the square: 3x² - 12x - 11
Answer: 3(x - 2)² - 23
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3.
Geometry
Find area of triangle: a = 17cm, b = 18cm, angle = 64°. Give your answer to 2 decimal places
Answer: 137.52cm²
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4.
Ratio
a:b is 5:7 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 40:56:49
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5.
Statistics
Find the mean, median and range of: 47, 66, 89, 38, 96, 94, 92, 59, 23. Give your answer to 2 decimal places
Answer: Mean = 67.11, Median = 66, Range = 73
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1.
Number
Simplify: √684
Answer: 6√19
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2.
Algebra
Complete the square: x² + x - 9
Answer: (x + 1⁄2)² - 37⁄4
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3.
Geometry
Find area of triangle: a = 29cm, b = 21cm, angle = 42°. Give your answer to 2 decimal places
Answer: 203.75cm²
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4.
Ratio
a:b is 4:3 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 20:15:18
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5.
Statistics
Find the mean, median and range of: 66, 69, 54, 17, 56, 56, 82. Give your answer to 2 decimal places
Answer: Mean = 57.14, Median = 56, Range = 65