Daily Practice

Higher Plus

12th October 1971

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

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 2.5, one 20 units wide with density 3. How many values in total?
2
Surds3 marks
Expand and simplify (4 + sqrt(5))(4 - sqrt(5)).
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (8x(n) + 9) with x(0) = 2. 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 8 m/s to 18 m/s over 5 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a - 6b and vector RS = 10a - 12b. What does this show about PQ and RS?

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