Daily Practice · Higher Plus
March 1979 5-a-day
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The batch download puts all 5 tiers' March 1979 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in March 1979
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st March 1979y is directly proportional to x^3. When x = 4, y = 256. Work out y when x = 3.
- 2nd March 1979The 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.
- 3rd March 1979A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/5. Work out r.
- 4th March 1979A histogram has two bars: one 5 units wide with frequency density 2.5, one 25 units wide with density 0.8. How many values in total?
- 5th March 1979A block has mass 840 g (to the nearest 10 g) and volume 11 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 6th March 1979Solve 3x^2 - 2x - 1 = 0.
- 7th March 1979y is directly proportional to sqrt(x). When x = 4, y = 8. Work out y when x = 9.
- 8th March 1979In a circle theorem proof, a step uses the fact that a triangle is drawn from the ends of a diameter to a point on the circle. State the reason being quoted.
- 9th March 1979The probability of winning a game is 1/5. A player expects 5 wins. How many games did they play?
- 10th March 1979On 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?
- 11th March 1979x = 47 and y = 22, each correct to the nearest whole number. Work out the upper bound of x - y.
- 12th March 1979f(x) = 7x - 8. Work out the inverse function f^-1(x).
- 13th March 1979A train slows steadily from 13 m/s to rest in 4 seconds. Work out its deceleration.
- 14th March 1979In a vector proof you find that vector PQ = 2a + 2b and vector RS = 4a + 4b. What does this show about PQ and RS?
- 15th March 1979A bag holds 8 red and n blue counters. The probability of taking a red is 8/11. Work out n.
- 16th March 1979A histogram has two bars: one 10 units wide with frequency density 0.4, one 5 units wide with density 0.6. How many values in total?
- 17th March 1979A car covers 240 m (to the nearest 10 m) in 6 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 18th March 1979Solve x^2 + y^2 = 676 and y = x + 14 simultaneously.
- 19th March 1979y is inversely proportional to x^2. When x = 5, y = 18. Work out y when x = 3.
- 20th March 1979A cuboid measures 4 cm by 7 cm by 8 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 21st March 1979A bag holds 6 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 22nd March 1979On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 23rd March 1979Rationalise the denominator of 77/sqrt(7), giving your answer in its simplest form.
- 24th March 1979Use the iteration x(n+1) = cube root of (10x(n) + 4) with x(0) = 4. Work out x(1) to 3 decimal places.
- 25th March 1979y is directly proportional to x^3. When x = 3, y = 54. Work out y when x = 2.
- 26th March 1979A cuboid measures 8 cm by 7 cm by 13 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 27th March 1979A 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?
- 28th March 1979A histogram has two bars: one 10 units wide with frequency density 2, one 10 units wide with density 1.4. How many values in total?
- 29th March 1979Simplify sqrt(8) + sqrt(2), giving your answer in the form a sqrt(b).
- 30th March 1979Work out the nth term of the quadratic sequence -3, 8, 27, 54, ...
- 31st March 1979y is directly proportional to sqrt(x). When x = 16, y = 12. Work out y when x = 81.