Daily Practice

Higher Plus

29th January 1974

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 0.4, one 5 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (4 + sqrt(11))(4 - sqrt(11)).
3
Inverse and Composite Functions3 marks
f(x) = 6x + 5 and g(x) = 6x - 2. Work out fg(-1).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 0 m/s to 25 m/s over 10 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a - 6b and vector RS = 12a - 18b. What does this show about PQ and RS?

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