Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

5th March 2013

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 25 units wide with density 1.4. How many values in total?
2
Surds3 marks
Expand and simplify (7 + sqrt(2))(7 - sqrt(2)).
3
Inverse and Composite Functions3 marks
f(x) = 4x - 6 and g(x) = 3x - 9. Work out fg(0).
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 11 m/s over 5 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 4b and vector RS = 25a + 20b. What does this show about PQ and RS?

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