Daily Practice · Higher Plus
March 1958 5-a-day
Printing for a group?
The batch download puts all 5 tiers' March 1958 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1958
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1958A car covers 710 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2nd March 1958Simplify (x^2 - 3x + 2)/(x - 1).
- 3rd March 1958A train slows steadily from 19 m/s to rest in 4 seconds. Work out its deceleration.
- 4th March 1958In a vector proof you find that vector PQ = 4a - 4b and vector RS = 12a - 12b. What does this show about PQ and RS?
- 5th March 1958A bag holds 8 red and n blue counters. The probability of taking a red is 8/13. Work out n.
- 6th March 1958A histogram has two bars: one 20 units wide with frequency density 0.4, one 20 units wide with density 3. How many values in total?
- 7th March 1958Rationalise the denominator of 28/sqrt(7), giving your answer in its simplest form.
- 8th March 1958In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
- 9th March 1958y is inversely proportional to x^2. When x = 2, y = 32. Work out y when x = 4.
- 10th March 1958A cuboid measures 11 cm by 5 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 11th March 1958A bag holds 7 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 12th March 1958On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 13th March 1958Simplify sqrt(27) + sqrt(27), giving your answer in the form a sqrt(b).
- 14th March 1958Make x the subject of 4x + 3 = y(x + 3).
- 15th March 1958y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 3.
- 16th March 1958A cuboid measures 13 cm by 10 cm by 5 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 17th March 1958A bag holds 4 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 18th March 1958A histogram has two bars: one 20 units wide with frequency density 2, one 10 units wide with density 0.8. How many values in total?
- 19th March 1958A rectangle is 8 cm by 9 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 20th March 1958Write 7/(x + 2) + 2/(x - 2) as a single fraction.
- 21st March 1958y is directly proportional to sqrt(x). When x = 4, y = 12. Work out y when x = 81.
- 22nd March 1958The point (8, 15) lies on the circle x^2 + y^2 = 289. Work out the gradient of the tangent to the circle at that point.
- 23rd March 1958A bag holds 8 counters, r of them red. Two are taken without replacement and P(both red) = 5/14. Work out r.
- 24th March 1958On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 25th March 1958Expand and simplify (8 + sqrt(6))(8 - sqrt(6)).
- 26th March 1958Solve 16x^2 + 8x - 15 = 0.
- 27th March 1958A train slows steadily from 32 m/s to rest in 10 seconds. Work out its deceleration.
- 28th March 1958In a circle theorem proof, a step uses the fact that the alternate segment theorem is being proved. State the reason being quoted.
- 29th March 1958The probability of winning a game is 3/8. A player expects 30 wins. How many games did they play?
- 30th March 1958A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 1.4. How many values in total?
- 31st March 1958A block has mass 490 g (to the nearest 10 g) and volume 21 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.