Daily Practice

Higher Plus

17th October 1989

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 = 4a + b and vector RS = 20a + 5b. What does this show about PQ and RS?
2
Probability Equation Questions3 marks
The probability of winning a game is 5/8. A player expects 70 wins. How many games did they play?
3
Histograms3 marks
A histogram has two bars: one 5 units wide with frequency density 0.4, one 10 units wide with density 0.8. How many values in total?
4
Surds3 marks
Expand and simplify (3 + sqrt(7))(3 - sqrt(7)).
5
Proof3 marks
Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.

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