Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

2nd December 2007

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 1.2, one 10 units wide with density 3.5. How many values in total?
2
Bounds3 marks
x = 35 and y = 13, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Quadratic Inequalities3 marks
Solve x^2 - 8x + 15 < 0.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 3 m/s to 15 m/s over 4 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 4a - b and vector RS = 12a - 3b. What does this show about PQ and RS?

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