Change pack
Capstone
Jun 4 - 10
25 questions
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1.
Number
Simplify: √475
Answer: 5√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 = 18cm, b = 29cm, angle = 49°. Give your answer to 2 decimal places
Answer: 196.98cm²
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4.
Ratio
a:b is 5:9 and b:c is 7:3. Find a:b:c in its simplest form.
Answer: 35:63:27
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5.
Statistics
Find the mean, median and range of: 48, 39, 97, 81, 44, 80, 85, 63, 51. Give your answer to 2 decimal places
Answer: Mean = 65.33, Median = 63, Range = 58
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1.
Number
Simplify: √704
Answer: 8√11
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2.
Algebra
Complete the square: x² + x + 9
Answer: (x + 1⁄2)² + 35⁄4
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3.
Geometry
Find area of triangle: a = 12cm, b = 30cm, angle = 75°. Give your answer to 2 decimal places
Answer: 173.87cm²
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4.
Ratio
a:b is 7:6 and b:c is 8:7. Find a:b:c in its simplest form.
Answer: 28:24:21
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5.
Statistics
Find the mean, median and range of: 56, 80, 31, 96, 92, 100, 89, 15, 44
Answer: Mean = 67, Median = 80, Range = 85
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1.
Number
Simplify: √700
Answer: 10√7
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2.
Algebra
Complete the square: x² + 3x + 4
Answer: (x + 3⁄2)² + 7⁄4
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3.
Geometry
Find area of triangle: a = 22cm, b = 30cm, angle = 73°. Give your answer to 2 decimal places
Answer: 315.58cm²
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4.
Ratio
a:b is 2:3 and b:c is 5:1. Find a:b:c in its simplest form.
Answer: 10:15:3
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5.
Statistics
Find the mean, median and range of: 52, 71, 50, 34, 31, 92, 10, 33. Give your answer to 2 decimal places
Answer: Mean = 46.63, Median = 42, Range = 82
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1.
Number
Simplify: √112
Answer: 4√7
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2.
Algebra
Complete the square: 2x² + 24x - 2
Answer: 2(x + 6)² - 74
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3.
Geometry
Find area of triangle: a = 22cm, b = 22cm, angle = 40°. Give your answer to 2 decimal places
Answer: 155.55cm²
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4.
Ratio
a:b is 2:5 and b:c is 2:5. Find a:b:c in its simplest form.
Answer: 4:10:25
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5.
Statistics
Find the mean, median and range of: 17, 82, 76, 39, 84, 87, 67, 19. Give your answer to 2 decimal places
Answer: Mean = 58.88, Median = 71.5, Range = 70
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1.
Number
Simplify: 4√63
Answer: 12√7
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2.
Algebra
Complete the square: 4x² - 24x - 12
Answer: 4(x - 3)² - 48
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3.
Geometry
Find area of triangle: a = 21cm, b = 21cm, angle = 47°. Give your answer to 2 decimal places
Answer: 161.26cm²
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4.
Ratio
a:b is 5:2 and b:c is 5:4. Find a:b:c in its simplest form.
Answer: 25:10:8
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5.
Statistics
Find the mean, median and range of: 54, 50, 11, 25, 30, 74, 85, 50, 53
Answer: Mean = 48, Median = 50, Range = 74