Daily Practice

Higher Plus

1st October 1979

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Bounds3 marks
A block has mass 570 g (to the nearest 10 g) and volume 23 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Rearranging Harder Formulae3 marks
Make x the subject of 2x + 2 = y(x + 2).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 49, y = 63. Work out y when x = 81.
4
The Cosine Rule3 marks
A triangle has sides 19 cm, 13 cm and 9 cm. Work out the angle opposite the 19 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 3 red and n blue counters. The probability of taking a red is 3/10. Work out n.

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