Daily Practice

Higher

2nd December 1972

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 = 54. Work out y when x = 2.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 14 cm and an angle of 39°. Work out the side adjacent to that angle, to 1 decimal place.
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 3, lower quartile 7, median 16, upper quartile 21 and maximum 29. Work out the interquartile range.
5
Surds2 marks
Write sqrt(45) in the form a sqrt(b), where b is as small as possible.

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