Change pack
Capstone
Apr 16 - 22
25 questions
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1.
Number
Simplify: √125
Answer: 5√5
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2.
Algebra
Complete the square: 4x² - 16x - 7
Answer: 4(x - 2)² - 23
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3.
Geometry
Find area of triangle: a = 28cm, b = 23cm, angle = 48°. Give your answer to 2 decimal places
Answer: 239.29cm²
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4.
Ratio
a:b is 7:5 and b:c is 8:3. Find a:b:c in its simplest form.
Answer: 56:40:15
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5.
Statistics
Find the mean, median and range of: 62, 10, 43, 47, 41, 47, 35, 51, 73. Give your answer to 2 decimal places
Answer: Mean = 45.44, Median = 47, Range = 63
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1.
Number
Simplify: 2√40
Answer: 4√10
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2.
Algebra
Complete the square: 2x² + 4x - 8
Answer: 2(x + 1)² - 10
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3.
Geometry
Find area of triangle: a = 12cm, b = 21cm, angle = 46°. Give your answer to 2 decimal places
Answer: 90.64cm²
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4.
Ratio
a:b is 9:8 and b:c is 5:6. Find a:b:c in its simplest form.
Answer: 45:40:48
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5.
Statistics
Find the mean, median and range of: 68, 30, 64, 91, 94, 36, 72, 60. Give your answer to 2 decimal places
Answer: Mean = 64.38, Median = 66, Range = 64
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1.
Number
Simplify: √160
Answer: 4√10
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2.
Algebra
Complete the square: 3x² + 30x + 4
Answer: 3(x + 5)² - 71
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3.
Geometry
Find area of triangle: a = 18cm, b = 22cm, angle = 69°. Give your answer to 2 decimal places
Answer: 184.85cm²
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4.
Ratio
a:b is 7:9 and b:c is 5:8. Find a:b:c in its simplest form.
Answer: 35:45:72
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5.
Statistics
Find the mean, median and range of: 10, 53, 65, 82, 20, 66, 81. Give your answer to 2 decimal places
Answer: Mean = 53.86, Median = 65, Range = 72
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1.
Number
Simplify: √375
Answer: 5√15
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2.
Algebra
Complete the square: 3x² + 30x + 6
Answer: 3(x + 5)² - 69
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3.
Geometry
Find area of triangle: a = 21cm, b = 24cm, angle = 78°. Give your answer to 2 decimal places
Answer: 246.49cm²
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4.
Ratio
a:b is 7:9 and b:c is 4:9. Find a:b:c in its simplest form.
Answer: 28:36:81
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5.
Statistics
Find the mean, median and range of: 78, 89, 93, 69, 42, 90, 19. Give your answer to 2 decimal places
Answer: Mean = 68.57, Median = 78, Range = 74
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1.
Number
Simplify: 4√150
Answer: 20√6
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2.
Algebra
Complete the square: 4x² + 24x + 11
Answer: 4(x + 3)² - 25
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3.
Geometry
Find area of triangle: a = 29cm, b = 24cm, angle = 67°. Give your answer to 2 decimal places
Answer: 320.34cm²
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4.
Ratio
a:b is 5:6 and b:c is 4:3. Find a:b:c in its simplest form.
Answer: 10:12:9
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5.
Statistics
Find the mean, median and range of: 64, 83, 57, 98, 80, 75, 87. Give your answer to 2 decimal places
Answer: Mean = 77.71, Median = 80, Range = 41