Daily Practice

Higher Plus

24th December 1957

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 5 units wide with density 3.5. How many values in total?
2
Surds3 marks
Expand and simplify (3 + sqrt(2))(3 - sqrt(2)).
3
Algebraic Fractions3 marks
Simplify (x^2 - x - 2)/(x - 2).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 25 m/s over 8 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a + 5b and vector RS = 8a + 10b. What does this show about PQ and RS?

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