Daily Practice

Higher Plus

2nd November 1967

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

1
Histograms3 marks
A histogram has two bars: one 10 units wide with frequency density 2, one 25 units wide with density 0.6. How many values in total?
2
Surds3 marks
Simplify sqrt(8) + sqrt(8), giving your answer in the form a sqrt(b).
3
Inverse and Composite Functions3 marks
f(x) = 6x - 6. Work out the inverse function f^-1(x).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 3 m/s to 8 m/s over 10 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + b and vector RS = 8a + 4b. What does this show about PQ and RS?

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