Daily Practice · Higher Plus
March 1962 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1962 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1962
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1962The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.
- 2nd March 1962A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 5/14. Work out r.
- 3rd March 1962On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 4th March 1962x = 172 and y = 65, each correct to the nearest whole number. Work out the upper bound of x - y.
- 5th March 1962Solve x^2 + y^2 = 625 and y = x + 17 simultaneously.
- 6th March 1962A train slows steadily from 18 m/s to rest in 5 seconds. Work out its deceleration.
- 7th March 1962In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.
- 8th March 1962The probability of winning a game is 1/2. A player expects 16 wins. How many games did they play?
- 9th March 1962A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 0.6. How many values in total?
- 10th March 1962A car covers 620 m (to the nearest 10 m) in 8 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 11th March 1962Use the iteration x(n+1) = cube root of (4x(n) + 8) with x(0) = 2. Work out x(1) to 3 decimal places.
- 12th March 1962y is inversely proportional to x^2. When x = 5, y = 8. Work out y when x = 2.
- 13th March 1962In a vector proof you find that vector PQ = a - b and vector RS = 3a - 3b. What does this show about PQ and RS?
- 14th March 1962A bag holds 4 red and n blue counters. The probability of taking a red is 4/7. Work out n.
- 15th March 1962On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 16th March 1962Rationalise the denominator of 50/sqrt(5), giving your answer in its simplest form.
- 17th March 1962Work out the nth term of the quadratic sequence 7, 19, 37, 61, ...
- 18th March 1962y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 4.
- 19th March 1962A cuboid measures 5 cm by 12 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 20th March 1962A bag holds 4 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 21st March 1962A histogram has two bars: one 20 units wide with frequency density 2.5, one 20 units wide with density 0.6. How many values in total?
- 22nd March 1962Simplify sqrt(75) + sqrt(12), giving your answer in the form a sqrt(b).
- 23rd March 1962The point (5, -1) lies on y = f(x). Write down its image on y = f(x) + 6.
- 24th March 1962y is directly proportional to sqrt(x). When x = 25, y = 40. Work out y when x = 16.
- 25th March 1962A cuboid measures 7 cm by 13 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 26th March 1962A bag holds 4 red, 5 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 27th March 1962On a histogram, a 10-wide bar and a 20-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 28th March 1962A rectangle is 4 cm by 29 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 29th March 1962Prove that the sum of 9 consecutive integers is always a multiple of 9. State the simplified sum you would use.
- 30th March 1962A train slows steadily from 37 m/s to rest in 8 seconds. Work out its deceleration.
- 31st March 1962The point (3, 4) lies on the circle x^2 + y^2 = 25. Work out the gradient of the tangent to the circle at that point.