Daily Practice

Higher Plus

13th May 1977

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2, one 25 units wide with density 0.8. How many values in total?
2
Surds3 marks
Rationalise the denominator of 20/sqrt(5), giving your answer in its simplest form.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (9x(n) + 5) with x(0) = 5. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 54 m/s over 20 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 4b and vector RS = 10a + 8b. What does this show about PQ and RS?

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