Change pack
Capstone
Sep 10 - 16
25 questions
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1.
Number
Simplify: √245
Answer: 7√5
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2.
Algebra
Complete the square: x² + 7x + 6
Answer: (x + 7⁄2)² - 25⁄4
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3.
Geometry
Find area of triangle: a = 20cm, b = 21cm, angle = 44°. Give your answer to 2 decimal places
Answer: 145.88cm²
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4.
Ratio
a:b is 2:9 and b:c is 7:4. Find a:b:c in its simplest form.
Answer: 14:63:36
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5.
Statistics
Find the mean, median and range of: 43, 50, 16, 27, 27, 82, 67, 88
Answer: Mean = 50, Median = 46.5, Range = 72
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1.
Number
Simplify: 4√63
Answer: 12√7
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2.
Algebra
Complete the square: 3x² + 30x + 1
Answer: 3(x + 5)² - 74
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3.
Geometry
Find area of triangle: a = 18cm, b = 14cm, angle = 66°. Give your answer to 2 decimal places
Answer: 115.11cm²
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4.
Ratio
a:b is 1:5 and b:c is 6:5. Find a:b:c in its simplest form.
Answer: 6:30:25
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5.
Statistics
Find the mean, median and range of: 89, 91, 44, 65, 99, 30, 96, 86, 73. Give your answer to 2 decimal places
Answer: Mean = 74.78, Median = 86, Range = 69
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1.
Number
Simplify: √352
Answer: 4√22
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2.
Algebra
Complete the square: x² - 11x - 12
Answer: (x - 11⁄2)² - 169⁄4
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3.
Geometry
Find area of triangle: a = 15cm, b = 29cm, angle = 62°. Give your answer to 2 decimal places
Answer: 192.04cm²
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4.
Ratio
a:b is 3:2 and b:c is 3:8. Find a:b:c in its simplest form.
Answer: 9:6:16
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5.
Statistics
Find the mean, median and range of: 99, 90, 66, 50, 81, 99, 43. Give your answer to 2 decimal places
Answer: Mean = 75.43, Median = 81, Range = 56
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1.
Number
Simplify: √175
Answer: 5√7
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2.
Algebra
Complete the square: x² + 5x + 6
Answer: (x + 5⁄2)² - 1⁄4
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3.
Geometry
Find area of triangle: a = 16cm, b = 17cm, angle = 56°. Give your answer to 2 decimal places
Answer: 112.75cm²
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4.
Ratio
a:b is 8:9 and b:c is 2:3. Find a:b:c in its simplest form.
Answer: 16:18:27
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5.
Statistics
Find the mean, median and range of: 13, 17, 58, 65, 30, 75, 86. Give your answer to 2 decimal places
Answer: Mean = 49.14, Median = 58, Range = 73
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1.
Number
Simplify: √605
Answer: 11√5
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2.
Algebra
Complete the square: 5x² + 60x + 13
Answer: 5(x + 6)² - 167
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3.
Geometry
Find area of triangle: a = 27cm, b = 26cm, angle = 80°. Give your answer to 2 decimal places
Answer: 345.67cm²
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4.
Ratio
a:b is 8:7 and b:c is 4:7. Find a:b:c in its simplest form.
Answer: 32:28:49
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5.
Statistics
Find the mean, median and range of: 69, 49, 100, 41, 53, 47, 100, 29
Answer: Mean = 61, Median = 51, Range = 71