Daily Practice

Higher Plus

1st October 1972

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

1
Bounds3 marks
x = 180 and y = 89, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Proof2 marks
In an algebraic proof, how would you write the square of an odd number in terms of an integer n?
3
Direct and Inverse Proportion Depth3 marks
y is inversely proportional to x^2. When x = 3, y = 144. Work out y when x = 6.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = p and vector OB = c. X is the point dividing AB in the ratio 2 : 1. Write vector OX in terms of p and c.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 21 wins. How many games did they play?

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