Daily Practice · Higher Plus

Daily Practice - Higher Plus

Grades 8-9 - exam-stretch algebra, geometry and reasoning.

25th September 1997

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 20 units wide with density 0.8. How many values in total?
2
Surds3 marks
Simplify sqrt(27) + sqrt(12), giving your answer in the form a sqrt(b).
3
Quadratic Simultaneous Equations3 marks
Solve x^2 + y^2 = 225 and y = x + 3 simultaneously.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 4 m/s to 24 m/s over 8 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a - 2b and vector RS = 20a - 10b. What does this show about PQ and RS?

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