Daily Practice

Higher

7th August 1976

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 = 6, y = 108. Work out y when x = 2.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 17 cm and an angle of 68°. Work out the side opposite that angle, to 1 decimal place.
3
Probability Trees3 marks
5 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 4, lower quartile 10, median 15, upper quartile 20 and maximum 30. Work out the interquartile range.
5
Standard Form2 marks
Work out (3 x 10^8) x (6 x 10^-3). Give your answer in standard form.

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