Daily Practice

Higher

3rd June 1961

5 questions · 13 marks · Grades 6-7 · 61 question types in this band

1
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 3, y = 18. Work out y when x = 5.
2
Vectors3 marks
a is the column vector (5, 0) and b is (6, -1). Work out 4a - 5b as a column vector.
3
Probability Trees3 marks
2 of 5 bulbs in a box are faulty. Two are taken with replacement. Work out the probability at least one is faulty.
4
Box Plots2 marks
A box plot has minimum 7, lower quartile 11, median 17, upper quartile 22 and maximum 29. Work out the interquartile range.
5
Standard Form2 marks
Work out (3 x 10^8) x (5 x 10^-3). Give your answer in standard form.

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