Daily Practice

Higher Plus

3rd July 1972

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

1
Bounds3 marks
A block has mass 600 g (to the nearest 10 g) and volume 25 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
2
Algebraic Fractions3 marks
Write 5/(x - 2) + 7/(x + 2) as a single fraction.
3
Direct and Inverse Proportion Depth3 marks
y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 3.
4
Vectors Proof Questions3 marks
OACB is a parallelogram with vector OA = c and vector OB = m. P is the point dividing AB in the ratio 1 : 2. Write vector OP in terms of c and m.
5
Probability Equation Questions3 marks
The probability of winning a game is 3/8. A player expects 33 wins. How many games did they play?

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