Daily Practice · Higher Plus
February 1979 5-a-day
Printing for a group?
The batch download puts all 5 tiers' February 1979 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1979
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1979A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 2/5. Work out r.
- 2nd February 1979On a histogram, a 4-wide bar and a 12-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 3rd February 1979A car covers 360 m (to the nearest 10 m) in 9 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 4th February 1979Work out the coordinates of the turning point of y = x^2 - 12x - 11.
- 5th February 1979y is directly proportional to x^3. When x = 2, y = 32. Work out y when x = 4.
- 6th February 1979In a circle theorem proof, a step uses the fact that the exterior angle of a cyclic quadrilateral is being found. State the reason being quoted.
- 7th February 1979The probability of winning a game is 1/5. A player expects 12 wins. How many games did they play?
- 8th February 1979A histogram has two bars: one 10 units wide with frequency density 1.5, one 20 units wide with density 1.4. How many values in total?
- 9th February 1979Rationalise the denominator of 9/sqrt(3), giving your answer in its simplest form.
- 10th February 1979Simplify (x^2 + 7x + 6)/(x + 1).
- 11th February 1979y is directly proportional to sqrt(x). When x = 9, y = 21. Work out y when x = 49.
- 12th February 1979In a vector proof you find that vector PQ = 3a - 2b and vector RS = 6a - 4b. What does this show about PQ and RS?
- 13th February 1979A bag holds 3 red and n blue counters. The probability of taking a red is 3/11. Work out n.
- 14th February 1979On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 15th February 1979Simplify sqrt(20) + sqrt(245), giving your answer in the form a sqrt(b).
- 16th February 1979In an algebraic proof, how would you write a number that leaves a remainder of 1 when divided by 9 in terms of an integer n?
- 17th February 1979A train slows steadily from 36 m/s to rest in 10 seconds. Work out its deceleration.
- 18th February 1979A cuboid measures 8 cm by 3 cm by 12 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 19th February 1979A bag holds 4 red and 4 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 20th February 1979A histogram has two bars: one 10 units wide with frequency density 1.2, one 10 units wide with density 3.5. How many values in total?
- 21st February 1979A rectangle is 21 cm by 11 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 22nd February 1979Make x the subject of 3x + 6 = y(x + 6).
- 23rd February 1979y is inversely proportional to x^2. When x = 3, y = 108. Work out y when x = 6.
- 24th February 1979A cuboid measures 6 cm by 12 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 25th February 1979A bag holds 7 red, 6 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 26th February 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?
- 27th February 1979Expand and simplify (2 + sqrt(10))(2 - sqrt(10)).
- 28th February 1979Write 5/(x + 5) + 7/(x - 1) as a single fraction.