Daily Practice · Higher Plus
March 1969 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1969 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1969
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1969The probability of winning a game is 1/2. A player expects 8 wins. How many games did they play?
- 2nd March 1969On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 3rd March 1969A block has mass 780 g (to the nearest 10 g) and volume 12 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 4th March 1969Use the iteration x(n+1) = cube root of (7x(n) + 4) with x(0) = 5. Work out x(1) to 3 decimal places.
- 5th March 1969y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 5.
- 6th March 1969In a vector proof you find that vector PQ = 6a - 5b and vector RS = 30a - 25b. What does this show about PQ and RS?
- 7th March 1969A bag holds 4 red and n blue counters. The probability of taking a red is 4/7. Work out n.
- 8th March 1969A histogram has two bars: one 10 units wide with frequency density 1.5, one 20 units wide with density 3. How many values in total?
- 9th March 1969x = 131 and y = 31, each correct to the nearest whole number. Work out the upper bound of x - y.
- 10th March 1969Work out the nth term of the quadratic sequence 4, 8, 18, 34, ...
- 11th March 1969y is directly proportional to sqrt(x). When x = 49, y = 49. Work out y when x = 81.
- 12th March 1969A cuboid measures 12 cm by 14 cm by 7 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 13th March 1969A bag holds 3 red and 10 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 14th March 1969On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 15th March 1969A car covers 120 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 16th March 1969The point (0, -6) lies on y = f(x). Write down its image on y = f(x) - 2.
- 17th March 1969A train slows steadily from 40 m/s to rest in 10 seconds. Work out its deceleration.
- 18th March 1969A cuboid measures 13 cm by 6 cm by 8 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 19th March 1969A bag holds 3 red, 3 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 20th March 1969A histogram has two bars: one 20 units wide with frequency density 0.4, one 20 units wide with density 0.8. How many values in total?
- 21st March 1969Rationalise the denominator of 6/sqrt(2), giving your answer in its simplest form.
- 22nd March 1969Prove that the sum of 6 consecutive integers is always a multiple of 3. State the simplified sum you would use.
- 23rd March 1969y is inversely proportional to x^2. When x = 4, y = 72. Work out y when x = 6.
- 24th March 1969The point (9, 40) lies on the circle x^2 + y^2 = 1681. Work out the gradient of the tangent to the circle at that point.
- 25th March 1969A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 1/55. Work out r.
- 26th March 1969On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 27th March 1969Simplify sqrt(45) + sqrt(45), giving your answer in the form a sqrt(b).
- 28th March 1969f(x) = 2x - 6 and g(x) = 2x - 7. Work out fg(3).
- 29th March 1969y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 2.
- 30th March 1969In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.
- 31st March 1969The probability of winning a game is 3/5. A player expects 27 wins. How many games did they play?