Daily Practice

Higher Plus

28th November 1977

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

1
Bounds3 marks
A block has mass 670 g (to the nearest 10 g) and volume 4 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 (1, 5) 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 = 9, y = 9. Work out y when x = 81.
4
Finding the Area of Any Triangle3 marks
A triangle has sides of 15 cm and 13 cm and an area of 68.94 cm^2. Work out the acute angle between those two sides, to the nearest degree.
5
Probability Equation Questions3 marks
A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 6/55. Work out r.

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