Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

29th July 2008

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 1.2, one 5 units wide with density 3. How many values in total?
2
Surds3 marks
Expand and simplify (9 + sqrt(10))(9 - sqrt(10)).
3
Algebraic Fractions3 marks
Write 5/(x - 4) + 4/(x - 5) as a single fraction.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 8 m/s to 33 m/s over 10 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a - 4b and vector RS = 6a - 12b. What does this show about PQ and RS?

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