Change pack
Capstone
Jan 30 - Feb 5
25 questions
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1.
Number
Simplify: 5√50
Answer: 25√2
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2.
Algebra
Complete the square: x² + 11x + 11
Answer: (x + 11⁄2)² - 77⁄4
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3.
Geometry
Find area of triangle: a = 28cm, b = 24cm, angle = 50°. Give your answer to 2 decimal places
Answer: 257.39cm²
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4.
Ratio
a:b is 7:9 and b:c is 7:5. Find a:b:c in its simplest form.
Answer: 49:63:45
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5.
Statistics
Find the mean, median and range of: 31, 62, 55, 21, 60, 25, 72, 19, 92. Give your answer to 2 decimal places
Answer: Mean = 48.56, Median = 55, Range = 73
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1.
Number
Simplify: √490
Answer: 7√10
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2.
Algebra
Complete the square: 4x² - 32x - 2
Answer: 4(x - 4)² - 66
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3.
Geometry
Find area of triangle: a = 17cm, b = 30cm, angle = 71°. Give your answer to 2 decimal places
Answer: 241.11cm²
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4.
Ratio
a:b is 2:9 and b:c is 5:3. Find a:b:c in its simplest form.
Answer: 10:45:27
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5.
Statistics
Find the mean, median and range of: 53, 16, 80, 68, 98, 79, 50. Give your answer to 2 decimal places
Answer: Mean = 63.43, Median = 68, Range = 82
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1.
Number
Simplify: √475
Answer: 5√19
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2.
Algebra
Complete the square: x² + 5x + 11
Answer: (x + 5⁄2)² + 19⁄4
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3.
Geometry
Find area of triangle: a = 24cm, b = 16cm, angle = 66°. Give your answer to 2 decimal places
Answer: 175.4cm²
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4.
Ratio
a:b is 1:7 and b:c is 9:2. Find a:b:c in its simplest form.
Answer: 9:63:14
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5.
Statistics
Find the mean, median and range of: 18, 82, 81, 38, 98, 87, 62, 18, 39. Give your answer to 2 decimal places
Answer: Mean = 58.11, Median = 62, Range = 80
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1.
Number
Simplify: √810
Answer: 9√10
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2.
Algebra
Complete the square: 3x² - 24x - 10
Answer: 3(x - 4)² - 58
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3.
Geometry
Find area of triangle: a = 23cm, b = 25cm, angle = 45°. Give your answer to 2 decimal places
Answer: 203.29cm²
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4.
Ratio
a:b is 8:3 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 56:21:12
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5.
Statistics
Find the mean, median and range of: 41, 21, 16, 98, 14, 25, 63, 11, 15. Give your answer to 2 decimal places
Answer: Mean = 33.78, Median = 21, Range = 87
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1.
Number
Simplify: 5√99
Answer: 15√11
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2.
Algebra
Complete the square: x² - x + 3
Answer: (x - 1⁄2)² + 11⁄4
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3.
Geometry
Find area of triangle: a = 30cm, b = 12cm, angle = 71°. Give your answer to 2 decimal places
Answer: 170.19cm²
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4.
Ratio
a:b is 6:5 and b:c is 6:1. Find a:b:c in its simplest form.
Answer: 36:30:5
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5.
Statistics
Find the mean, median and range of: 93, 24, 35, 76, 42, 49, 33, 15. Give your answer to 2 decimal places
Answer: Mean = 45.88, Median = 38.5, Range = 78