Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

24th January 2013

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

1
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
2
Velocity Time Graphs2 marks
On a velocity-time graph a car speeds up in a straight line from 8 m/s to 38 m/s over 20 seconds. Work out the acceleration.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 5a + 3b and vector RS = 15a + 9b. What does this show about PQ and RS?
4
Probability Equation Questions3 marks
The probability of winning a game is 1/5. A player expects 2 wins. How many games did they play?
5
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 25 units wide with density 3.5. How many values in total?

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