Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

15th September 1999

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 10 units wide with density 3.5. How many values in total?
2
Bounds3 marks
A rectangle is 5 cm by 30 cm, each correct to the nearest cm. Work out the upper bound of its area.
3
Iteration3 marks
Use the iteration x(n+1) = cube root of (6x(n) + 8) with x(0) = 2. Work out x(1) to 3 decimal places.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 3 m/s to 27 m/s over 8 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a + b and vector RS = 16a + 4b. What does this show about PQ and RS?

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