Daily Practice

Higher

5th October 1974

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 = 81. Work out y when x = 5.
2
SOHCAHTOA (Trigonometry)3 marks
A right-angled triangle has a hypotenuse of 8 cm and an angle of 45°. Work out the side opposite that angle, to 1 decimal place.
3
Probability Trees3 marks
3 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 25, upper quartile 32 and maximum 41. Work out the interquartile range.
5
Bounds2 marks
A mass is 26 kg, correct to the nearest whole number. Write down the lower bound.

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