Daily Practice

Higher Plus

13th September 1987

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

1
Bounds3 marks
x = 191 and y = 72, each correct to the nearest whole number. Work out the upper bound of x - y.
2
Proof3 marks
Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to sqrt(x). When x = 16, y = 20. Work out y when x = 4.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = b. X is the point dividing AB in the ratio 1 : 2. Write vector OX in terms of c and b.
5
Probability Equation Questions3 marks
The probability of winning a game is 7/10. A player expects 42 wins. How many games did they play?

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