Change pack
Capstone
Jul 4 - 10
25 questions
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1.
Number
Simplify: √150
Answer: 5√6
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2.
Algebra
Complete the square: 4x² - 8x + 6
Answer: 4(x - 1)² + 2
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3.
Geometry
Find area of triangle: a = 26cm, b = 19cm, angle = 53°. Give your answer to 2 decimal places
Answer: 197.26cm²
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4.
Ratio
a:b is 1:4 and b:c is 9:8. Find a:b:c in its simplest form.
Answer: 9:36:32
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5.
Statistics
Find the mean, median and range of: 44, 36, 74, 20, 16, 46, 37
Answer: Mean = 39, Median = 37, Range = 58
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1.
Number
Simplify: 3√44
Answer: 6√11
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2.
Algebra
Complete the square: x² - 9x
Answer: (x - 9⁄2)² - 81⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 18cm, angle = 56°. Give your answer to 2 decimal places
Answer: 164.15cm²
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4.
Ratio
a:b is 5:9 and b:c is 7:1. Find a:b:c in its simplest form.
Answer: 35:63:9
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5.
Statistics
Find the mean, median and range of: 27, 32, 16, 25, 26, 66, 74
Answer: Mean = 38, Median = 27, Range = 58
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1.
Number
Simplify: √48
Answer: 4√3
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2.
Algebra
Complete the square: x² - 5x - 4
Answer: (x - 5⁄2)² - 41⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 30cm, angle = 47°. Give your answer to 2 decimal places
Answer: 164.55cm²
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4.
Ratio
a:b is 4:7 and b:c is 5:9. Find a:b:c in its simplest form.
Answer: 20:35:63
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5.
Statistics
Find the mean, median and range of: 29, 82, 99, 83, 81, 84, 78, 55, 97. Give your answer to 2 decimal places
Answer: Mean = 76.44, Median = 82, Range = 70
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1.
Number
Simplify: √735
Answer: 7√15
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2.
Algebra
Complete the square: 3x² + 18x + 14
Answer: 3(x + 3)² - 13
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3.
Geometry
Find area of triangle: a = 16cm, b = 20cm, angle = 73°. Give your answer to 2 decimal places
Answer: 153.01cm²
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4.
Ratio
a:b is 9:4 and b:c is 7:9. Find a:b:c in its simplest form.
Answer: 63:28:36
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5.
Statistics
Find the mean, median and range of: 92, 69, 41, 44, 53, 64, 90, 77
Answer: Mean = 66.25, Median = 66.5, Range = 51
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1.
Number
Simplify: 4√160
Answer: 16√10
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2.
Algebra
Complete the square: 4x² - 24x + 9
Answer: 4(x - 3)² - 27
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3.
Geometry
Find area of triangle: a = 21cm, b = 19cm, angle = 72°. Give your answer to 2 decimal places
Answer: 189.74cm²
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4.
Ratio
a:b is 5:8 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 15:24:20
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5.
Statistics
Find the mean, median and range of: 91, 16, 21, 28, 12, 74, 42, 98, 44. Give your answer to 2 decimal places
Answer: Mean = 47.33, Median = 42, Range = 86