Change pack
Capstone
Nov 21 - 27
25 questions
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1.
Number
Simplify: √98
Answer: 7√2
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2.
Algebra
Complete the square: 4x² - 48x + 12
Answer: 4(x - 6)² - 132
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3.
Geometry
Find area of triangle: a = 29cm, b = 16cm, angle = 80°. Give your answer to 2 decimal places
Answer: 228.48cm²
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4.
Ratio
a:b is 9:5 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 36:20:15
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5.
Statistics
Find the mean, median and range of: 17, 88, 41, 49, 47, 31, 39, 86, 99. Give your answer to 2 decimal places
Answer: Mean = 55.22, Median = 47, Range = 82
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1.
Number
Simplify: 5√160
Answer: 20√10
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2.
Algebra
Complete the square: x² + 11x + 12
Answer: (x + 11⁄2)² - 73⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 23cm, angle = 49°. Give your answer to 2 decimal places
Answer: 216.98cm²
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4.
Ratio
a:b is 3:4 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 21:28:12
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5.
Statistics
Find the mean, median and range of: 88, 16, 48, 33, 35, 68, 32, 79. Give your answer to 2 decimal places
Answer: Mean = 49.88, Median = 41.5, Range = 72
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1.
Number
Simplify: 5√96
Answer: 20√6
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2.
Algebra
Complete the square: 5x² + 10x + 7
Answer: 5(x + 1)² + 2
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3.
Geometry
Find area of triangle: a = 21cm, b = 25cm, angle = 75°. Give your answer to 2 decimal places
Answer: 253.56cm²
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4.
Ratio
a:b is 7:5 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 56:40:35
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5.
Statistics
Find the mean, median and range of: 50, 91, 21, 20, 61, 32, 14. Give your answer to 2 decimal places
Answer: Mean = 41.29, Median = 32, Range = 77
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1.
Number
Simplify: 2√125
Answer: 10√5
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2.
Algebra
Complete the square: x² - 3x + 8
Answer: (x - 3⁄2)² + 23⁄4
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3.
Geometry
Find area of triangle: a = 25cm, b = 20cm, angle = 62°. Give your answer to 2 decimal places
Answer: 220.74cm²
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4.
Ratio
a:b is 4:3 and b:c is 2:9. Find a:b:c in its simplest form.
Answer: 8:6:27
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5.
Statistics
Find the mean, median and range of: 26, 40, 38, 64, 56, 71, 78, 71
Answer: Mean = 55.5, Median = 60, Range = 52
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1.
Number
Simplify: 5√175
Answer: 25√7
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2.
Algebra
Complete the square: 4x² - 40x + 10
Answer: 4(x - 5)² - 90
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3.
Geometry
Find area of triangle: a = 18cm, b = 17cm, angle = 63°. Give your answer to 2 decimal places
Answer: 136.32cm²
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4.
Ratio
a:b is 4:3 and b:c is 5:7. Find a:b:c in its simplest form.
Answer: 20:15:21
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5.
Statistics
Find the mean, median and range of: 66, 42, 10, 49, 55, 93, 43, 13. Give your answer to 2 decimal places
Answer: Mean = 46.38, Median = 46, Range = 83