Daily Practice

Higher Plus

1st March 1991

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 1.2, one 5 units wide with density 0.6. How many values in total?
2
Surds3 marks
Rationalise the denominator of 99/sqrt(11), giving your answer in its simplest form.
3
Quadratic Inequalities3 marks
Solve x^2 + 9x + 8 < 0.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 51 m/s over 20 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 6b and vector RS = 8a - 24b. What does this show about PQ and RS?

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