Daily Practice

Higher Plus

10th June 1971

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

1
Transforming Graphs y=f(x)3 marks
The point (2, -6) lies on y = f(x). Write down its image on y = f(x + 1).
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 5, y = 75. Work out the positive value of x when y = 12.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 10 cm by 8 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
4
Probability Equation Questions3 marks
A bag holds 8 red and n blue counters. The probability of taking a red is 8/13. Work out n.
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 5 units wide with density 3. How many values in total?

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