Daily Practice

Higher Plus

14th June 1954

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

1
Bounds3 marks
A block has mass 460 g (to the nearest 10 g) and volume 19 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Transforming Graphs y=f(x)3 marks
The point (0, 0) lies on y = f(x). Write down its image on y = f(-x).
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 25, y = 45. Work out y when x = 49.
4
The Cosine Rule3 marks
A triangle has sides 14 cm, 16 cm and 14 cm. Work out the angle opposite the 14 cm side, to 1 decimal place.
5
Probability Equation Questions3 marks
A bag holds 5 red and n blue counters. The probability of taking a red is 5/7. Work out n.

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