Daily Practice · Higher Plus

Daily Practice - Higher Plus

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

5th December 2014

5 questions · 15 marks · Grades 8-9 · 51 question types in this band

1
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + b and vector RS = 8a + 4b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 7/8. A player expects 42 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 20 units wide with frequency density 0.4, one 25 units wide with density 1.4. How many values in total?
4
Surds3 marks
Rationalise the denominator of 22/sqrt(11), giving your answer in its simplest form.
5
Proof3 marks
Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.

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