Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

14th August 2005

5 questions · 14 marks · Grades 8-9 · 51 question types in this band

1
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 1.5, one 5 units wide with density 0.6. How many values in total?
2
Bounds3 marks
x = 82 and y = 10, each correct to the nearest whole number. Work out the upper bound of x - y.
3
Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
4
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 1 m/s to 13 m/s over 8 seconds. Work out the acceleration.
5
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 3a - 3b and vector RS = 15a - 15b. What does this show about PQ and RS?

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