Daily Practice · Higher Plus
March 1968 5-a-day
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The batch download puts all 5 tiers' March 1968 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1968
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1968A histogram has two bars: one 10 units wide with frequency density 1.2, one 20 units wide with density 3.5. How many values in total?
- 2nd March 1968A car covers 540 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.
- 3rd March 1968Solve x^2 - 3x < 0.
- 4th March 1968y is inversely proportional to x^2. When x = 5, y = 4. Work out y when x = 2.
- 5th March 1968In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
- 6th March 1968The probability of winning a game is 1/2. A player expects 4 wins. How many games did they play?
- 7th March 1968On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 8th March 1968Rationalise the denominator of 21/sqrt(7), giving your answer in its simplest form.
- 9th March 1968Write x^2 + 2x + 1 in the form (x + a)^2 + b.
- 10th March 1968y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 2.
- 11th March 1968In a vector proof you find that vector PQ = a - b and vector RS = 5a - 5b. What does this show about PQ and RS?
- 12th March 1968A bag holds 3 red and n blue counters. The probability of taking a red is 3/5. Work out n.
- 13th March 1968A histogram has two bars: one 20 units wide with frequency density 1.5, one 10 units wide with density 1.4. How many values in total?
- 14th March 1968Simplify sqrt(80) + sqrt(5), giving your answer in the form a sqrt(b).
- 15th March 1968Work out the coordinates of the turning point of y = x^2 - 12x + 15.
- 16th March 1968y is directly proportional to sqrt(x). When x = 9, y = 9. Work out y when x = 81.
- 17th March 1968A cuboid measures 9 cm by 14 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 18th March 1968A bag holds 6 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 19th March 1968On a histogram, a 4-wide bar and a 16-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 20th March 1968A rectangle is 24 cm by 23 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 21st March 1968Simplify (x^2 - 12x + 35)/(x - 7).
- 22nd March 1968A train slows steadily from 27 m/s to rest in 4 seconds. Work out its deceleration.
- 23rd March 1968A cuboid measures 4 cm by 5 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 24th March 1968A bag holds 7 red, 3 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 25th March 1968A histogram has two bars: one 20 units wide with frequency density 2, one 25 units wide with density 0.8. How many values in total?
- 26th March 1968Expand and simplify (8 + sqrt(3))(8 - sqrt(3)).
- 27th March 1968In an algebraic proof, how would you write a multiple of 3 in terms of an integer n?
- 28th March 1968y is inversely proportional to x^2. When x = 4, y = 50. Work out y when x = 5.
- 29th March 1968The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
- 30th March 1968A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 3/55. Work out r.
- 31st March 1968On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 2. How many more values are in the wider class?