Daily Practice

Higher Plus

8th January 1959

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

1
Proof2 marks
In an algebraic proof, how would you write the square of an odd number in terms of an integer n?
2
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^2. When x = 6, y = 324. Work out the positive value of x when y = 225.
3
Vectors Proof Questions3 marks
In a vector proof you find that vector PQ = 2a + 2b and vector RS = 6a + 6b. 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 12 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 5 units wide with density 3. How many values in total?

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