Daily Practice · Higher Plus
September 1979 5-a-day
Printing for a group?
The batch download puts all 5 tiers' September 1979 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in September 1979
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st September 1979A car covers 540 m (to the nearest 10 m) in 7 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 2nd September 1979Simplify (x^2 - 4x - 32)/(x - 8).
- 3rd September 1979y is inversely proportional to x^2. When x = 5, y = 32. Work out y when x = 4.
- 4th September 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.
- 5th September 1979The probability of winning a game is 1/4. A player expects 4 wins. How many games did they play?
- 6th September 1979On 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?
- 7th September 1979Rationalise the denominator of 132/sqrt(11), giving your answer in its simplest form.
- 8th September 1979In an algebraic proof, how would you write the number two more than an even number in terms of an integer n?
- 9th September 1979y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 4.
- 10th September 1979In a vector proof you find that vector PQ = 3a + 5b and vector RS = 15a + 25b. What does this show about PQ and RS?
- 11th September 1979A bag holds 8 red and n blue counters. The probability of taking a red is 2/3. Work out n.
- 12th September 1979A histogram has two bars: one 20 units wide with frequency density 0.4, one 10 units wide with density 1.4. How many values in total?
- 13th September 1979Simplify sqrt(18) + sqrt(32), giving your answer in the form a sqrt(b).
- 14th September 1979Make x the subject of 4x + 3 = y(x + 3).
- 15th September 1979y is directly proportional to sqrt(x). When x = 4, y = 12. Work out y when x = 25.
- 16th September 1979A cuboid measures 14 cm by 8 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 17th September 1979A bag holds 6 red and 7 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 18th September 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?
- 19th September 1979A rectangle is 25 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 20th September 1979Write 7/(x - 2) + 7/(x + 5) as a single fraction.
- 21st September 1979A train slows steadily from 18 m/s to rest in 5 seconds. Work out its deceleration.
- 22nd September 1979A cuboid measures 10 cm by 12 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 23rd September 1979A bag holds 6 red, 5 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 24th September 1979A histogram has two bars: one 10 units wide with frequency density 2.5, one 5 units wide with density 3. How many values in total?
- 25th September 1979Expand and simplify (3 + sqrt(10))(3 - sqrt(10)).
- 26th September 1979Solve 2x^2 - 15x + 25 = 0.
- 27th September 1979y is inversely proportional to x^2. When x = 2, y = 100. Work out y when x = 5.
- 28th September 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.
- 29th September 1979A bag holds 12 counters, r of them red. Two are taken without replacement and P(both red) = 14/33. Work out r.
- 30th September 1979On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 1.5. How many more values are in the wider class?