Daily Practice

Higher

14th March 1981

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 = 3, y = 63. Work out y when x = 7.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 8 cm and an angle of 36°. Work out the side opposite that angle, to 1 decimal place.
3
Probability Trees3 marks
3 of 6 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 11, median 15, upper quartile 18 and maximum 26. Work out the interquartile range.
5
Recurring Decimals to Fractions3 marks
Write the recurring decimal 0.444... as a fraction in its simplest form.

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