Daily Practice · Higher Plus
October 1979 5-a-day
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The batch download puts all 5 tiers' October 1979 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in October 1979
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st October 1979A block has mass 570 g (to the nearest 10 g) and volume 23 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 2nd October 1979f(x) = 3x - 3. Work out the inverse function f^-1(x).
- 3rd October 1979y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 5.
- 4th October 1979In a circle theorem proof, a step uses the fact that a radius is drawn to the midpoint of a chord. State the reason being quoted.
- 5th October 1979The probability of winning a game is 3/10. A player expects 24 wins. How many games did they play?
- 6th October 1979A histogram has two bars: one 20 units wide with frequency density 2, one 20 units wide with density 3. How many values in total?
- 7th October 1979x = 185 and y = 144, each correct to the nearest whole number. Work out the upper bound of x - y.
- 8th October 1979Solve x^2 + y^2 = 100 and y = x - 2 simultaneously.
- 9th October 1979y is directly proportional to sqrt(x). When x = 16, y = 8. Work out y when x = 81.
- 10th October 1979In a vector proof you find that vector PQ = 4a - 5b and vector RS = 8a - 10b. What does this show about PQ and RS?
- 11th October 1979A bag holds 4 red and n blue counters. The probability of taking a red is 4/9. Work out n.
- 12th October 1979On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 13th October 1979A car covers 460 m (to the nearest 10 m) in 3 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 14th October 1979Use the iteration x(n+1) = cube root of (5x(n) + 9) with x(0) = 1. Work out x(1) to 3 decimal places.
- 15th October 1979A train slows steadily from 24 m/s to rest in 4 seconds. Work out its deceleration.
- 16th October 1979A cuboid measures 13 cm by 9 cm by 9 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 17th October 1979A 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?
- 18th October 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?
- 19th October 1979Rationalise the denominator of 84/sqrt(7), giving your answer in its simplest form.
- 20th October 1979Work out the nth term of the quadratic sequence 12, 22, 38, 60, ...
- 21st October 1979y is inversely proportional to x^2. When x = 2, y = 64. Work out y when x = 4.
- 22nd October 1979A cuboid measures 10 cm by 14 cm by 11 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 23rd October 1979A bag holds 3 red, 4 blue and 4 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 24th October 1979On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 25th October 1979Simplify sqrt(72) + sqrt(50), giving your answer in the form a sqrt(b).
- 26th October 1979The point (-2, 5) lies on y = f(x). Write down its image on y = f(x - 6).
- 27th October 1979y is directly proportional to x^3. When x = 3, y = 135. Work out y when x = 5.
- 28th October 1979The 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.
- 29th October 1979A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 7/22. Work out r.
- 30th October 1979A histogram has two bars: one 20 units wide with frequency density 0.4, one 25 units wide with density 3.5. How many values in total?
- 31st October 1979A rectangle is 13 cm by 8 cm, each correct to the nearest cm. Work out the upper bound of its area.