Daily Practice · Higher Plus
May 1974 5-a-day
Printing for a group?
The batch download puts all 5 tiers' May 1974 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in May 1974
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st May 1974Write x^2 + 2x - 5 in the form (x + a)^2 + b.
- 2nd May 1974A train slows steadily from 24 m/s to rest in 8 seconds. Work out its deceleration.
- 3rd May 1974In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
- 4th May 1974The probability of winning a game is 9/10. A player expects 54 wins. How many games did they play?
- 5th May 1974A histogram has two bars: one 20 units wide with frequency density 2.5, one 25 units wide with density 0.8. How many values in total?
- 6th May 1974A block has mass 670 g (to the nearest 10 g) and volume 7 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 7th May 1974Work out the coordinates of the turning point of y = x^2 + 6x + 9.
- 8th May 1974y is inversely proportional to x^2. When x = 4, y = 25. Work out y when x = 5.
- 9th May 1974In a vector proof you find that vector PQ = 6a + 5b and vector RS = 12a + 10b. What does this show about PQ and RS?
- 10th May 1974A bag holds 4 red and n blue counters. The probability of taking a red is 4/7. Work out n.
- 11th May 1974On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 12th May 1974x = 104 and y = 65, each correct to the nearest whole number. Work out the upper bound of x - y.
- 13th May 1974Simplify (x^2 - 6x + 5)/(x - 5).
- 14th May 1974y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 5.
- 15th May 1974A cuboid measures 12 cm by 13 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 16th May 1974A 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?
- 17th May 1974A histogram has two bars: one 20 units wide with frequency density 2, one 5 units wide with density 0.6. How many values in total?
- 18th May 1974A car covers 220 m (to the nearest 10 m) in 4 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 19th May 1974In an algebraic proof, how would you write the product of two consecutive integers in terms of an integer n?
- 20th May 1974y is directly proportional to sqrt(x). When x = 36, y = 12. Work out y when x = 4.
- 21st May 1974A cuboid measures 9 cm by 4 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 22nd May 1974A bag holds 5 red, 6 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 23rd May 1974On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 24th May 1974Rationalise the denominator of 21/sqrt(7), giving your answer in its simplest form.
- 25th May 1974Make x the subject of 3x + 5 = y(x + 5).
- 26th May 1974A train slows steadily from 37 m/s to rest in 5 seconds. Work out its deceleration.
- 27th May 1974The 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.
- 28th May 1974A bag holds 5 counters, r of them red. Two are taken without replacement and P(both red) = 1/10. Work out r.
- 29th May 1974A histogram has two bars: one 10 units wide with frequency density 1.2, one 20 units wide with density 1.4. How many values in total?
- 30th May 1974Simplify sqrt(18) + sqrt(98), giving your answer in the form a sqrt(b).
- 31st May 1974Write 2/(x + 4) + 7/(x + 2) as a single fraction.