Daily Practice

Higher

25th June 1966

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 = 4, y = 64. Work out y when x = 7.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 15 cm and an angle of 35°. Work out the side adjacent to that angle, to 1 decimal place.
3
Probability Trees3 marks
5 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 14, lower quartile 24, median 26, upper quartile 36 and maximum 43. Work out the interquartile range.
5
Standard Form2 marks
Work out (2 x 10^6) x (9 x 10^3). Give your answer in standard form.

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