Daily Practice

Higher Plus

26th July 1963

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 1.5, one 25 units wide with density 3. How many values in total?
2
Surds3 marks
Rationalise the denominator of 36/sqrt(3), giving your answer in its simplest form.
3
Algebraic Fractions3 marks
Simplify (x^2 - 8x + 12)/(x - 6).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 8 m/s to 20 m/s over 8 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = a + 5b and vector RS = 5a + 25b. What does this show about PQ and RS?

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