Daily Practice

Higher Plus

24th June 1969

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

1
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 2.5, one 5 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (3 + sqrt(5))(3 - sqrt(5)).
3
Algebraic Fractions3 marks
Write 2/(x - 5) + 5/(x + 2) as a single fraction.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 23 m/s over 8 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 2b and vector RS = 15a - 10b. What does this show about PQ and RS?

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