Daily Practice

Higher Plus

7th February 1983

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Inverse and Composite Functions3 marks
f(x) = 4x - 6. Work out the inverse function f^-1(x).
2
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 19.5 m/s over 5 seconds. Work out the acceleration.
3
3d Pythagoras and Trigonometry3 marks
A cuboid measures 14 cm by 8 cm by 11 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 8/11. Work out n.
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 1.2, one 5 units wide with density 1.4. How many values in total?

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