Daily Practice

Higher

17th December 1960

5 questions · 14 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 = 72. Work out y when x = 8.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 22 cm and an angle of 59°. Work out the side adjacent to that angle, to 1 decimal place.
3
Probability Trees3 marks
2 of 7 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 15, median 18, upper quartile 23 and maximum 28. Work out the interquartile range.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.111... as a fraction in its simplest form.

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