Daily Practice

Higher

20th September 1986

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 = 5, y = 175. Work out y when x = 8.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 20 cm and an angle of 27°. Work out the side adjacent to that angle, to 1 decimal place.
3
Probability Trees3 marks
7 of 10 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 9, lower quartile 14, median 16, upper quartile 26 and maximum 30. Work out the interquartile range.
5
Standard Form2 marks
Work out (4 x 10^8) x (7 x 10^-3). Give your answer in standard form.

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