Daily Practice · Higher Plus
February 1966 5-a-day
Printing for a group?
The batch download puts all 5 tiers' February 1966 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1966
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1966y is directly proportional to x^3. When x = 2, y = 24. Work out y when x = 4.
- 2nd February 1966A cuboid measures 6 cm by 13 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 3rd February 1966A 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?
- 4th February 1966A histogram has two bars: one 10 units wide with frequency density 2.5, one 10 units wide with density 1.4. How many values in total?
- 5th February 1966A car covers 490 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.
- 6th February 1966Use the iteration x(n+1) = cube root of (5x(n) + 4) with x(0) = 1. Work out x(1) to 3 decimal places.
- 7th February 1966y is directly proportional to sqrt(x). When x = 16, y = 24. Work out y when x = 9.
- 8th February 1966The point (5, 12) lies on the circle x^2 + y^2 = 169. Work out the gradient of the tangent to the circle at that point.
- 9th February 1966A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 1/15. Work out r.
- 10th February 1966On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 11th February 1966Rationalise the denominator of 60/sqrt(5), giving your answer in its simplest form.
- 12th February 1966Work out the nth term of the quadratic sequence 2, 16, 38, 68, ...
- 13th February 1966A train slows steadily from 34 m/s to rest in 5 seconds. Work out its deceleration.
- 14th February 1966In 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.
- 15th February 1966The probability of winning a game is 1/8. A player expects 13 wins. How many games did they play?
- 16th February 1966A histogram has two bars: one 10 units wide with frequency density 1.5, one 25 units wide with density 0.8. How many values in total?
- 17th February 1966Simplify sqrt(45) + sqrt(125), giving your answer in the form a sqrt(b).
- 18th February 1966The point (-1, -1) lies on y = f(x). Write down its image on y = f(x + 1).
- 19th February 1966y is inversely proportional to x^2. When x = 4, y = 100. Work out y when x = 5.
- 20th February 1966In a vector proof you find that vector PQ = a + 2b and vector RS = 3a + 6b. What does this show about PQ and RS?
- 21st February 1966A bag holds 8 red and n blue counters. The probability of taking a red is 8/11. Work out n.
- 22nd February 1966On a histogram, a 5-wide bar and a 15-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 23rd February 1966A rectangle is 11 cm by 15 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 24th February 1966Prove that the sum of 7 consecutive integers is always a multiple of 7. State the simplified sum you would use.
- 25th February 1966y is directly proportional to x^3. When x = 3, y = 81. Work out y when x = 5.
- 26th February 1966A cuboid measures 13 cm by 14 cm by 11 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 27th February 1966A bag holds 6 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 28th February 1966A histogram has two bars: one 5 units wide with frequency density 0.4, one 20 units wide with density 0.6. How many values in total?