Daily Practice · Higher Plus
February 1970 5-a-day
Printing for a group?
The batch download puts all 5 tiers' February 1970 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1970
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1970On a histogram, a 10-wide bar and a 40-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 2nd February 1970A block has mass 450 g (to the nearest 10 g) and volume 22 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 3rd February 1970The curve y = cos x° is drawn for 0 <= x <= 360. Write down the value of y when x = 180.
- 4th February 1970y is directly proportional to x^3. When x = 2, y = 48. Work out y when x = 3.
- 5th February 1970A cuboid measures 12 cm by 3 cm by 3 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 6th February 1970A bag holds 8 red and 5 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 7th February 1970A histogram has two bars: one 20 units wide with frequency density 1.2, one 10 units wide with density 0.8. How many values in total?
- 8th February 1970x = 72 and y = 56, each correct to the nearest whole number. Work out the upper bound of x - y.
- 9th February 1970A quadratic sequence starts 7, 21, 41, 67. Work out the second difference, and the coefficient of n^2.
- 10th February 1970y is directly proportional to sqrt(x). When x = 36, y = 42. Work out y when x = 81.
- 11th February 1970A cuboid measures 5 cm by 6 cm by 6 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 12th February 1970A bag holds 3 red, 3 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 13th February 1970On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 14th February 1970A car covers 390 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.
- 15th February 1970Solve x^2 + 13x + 40 < 0.
- 16th February 1970A train slows steadily from 24 m/s to rest in 10 seconds. Work out its deceleration.
- 17th February 1970The point (12, 16) lies on the circle x^2 + y^2 = 400. Work out the gradient of the tangent to the circle at that point.
- 18th February 1970A bag holds 11 counters, r of them red. Two are taken without replacement and P(both red) = 2/11. Work out r.
- 19th February 1970A histogram has two bars: one 10 units wide with frequency density 1.5, one 10 units wide with density 1.4. How many values in total?
- 20th February 1970Rationalise the denominator of 12/sqrt(6), giving your answer in its simplest form.
- 21st February 1970Write x^2 + 16x + 1 in the form (x + a)^2 + b.
- 22nd February 1970y is inversely proportional to x^2. When x = 3, y = 100. Work out y when x = 5.
- 23rd February 1970In 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.
- 24th February 1970The probability of winning a game is 7/8. A player expects 28 wins. How many games did they play?
- 25th February 1970On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2.5. How many more values are in the wider class?
- 26th February 1970Simplify sqrt(20) + sqrt(245), giving your answer in the form a sqrt(b).
- 27th February 1970Work out the coordinates of the turning point of y = x^2 + 6x - 14.
- 28th February 1970y is directly proportional to x^3. When x = 4, y = 192. Work out y when x = 3.