Daily Practice

Higher

6th September 1975

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 = 125. Work out y when x = 4.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 24 cm and an angle of 55°. Work out the side opposite that angle, to 1 decimal place.
3
Probability Trees3 marks
4 of 9 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 2, lower quartile 5, median 15, upper quartile 17 and maximum 27. Work out the interquartile range.
5
Fractional and Negative Indices2 marks
Write 5^-2 as a fraction.

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