Daily Practice

Higher Plus

23rd December 1980

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, one 25 units wide with density 3. How many values in total?
2
Surds3 marks
Expand and simplify (5 + sqrt(2))(5 - sqrt(2)).
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 625 and y = x - 17 simultaneously.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 7 m/s to 22 m/s over 10 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a + b and vector RS = 8a + 2b. What does this show about PQ and RS?

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