Daily Practice · Higher Plus
February 1982 5-a-day
Printing for a group?
The batch download puts all 5 tiers' February 1982 sheets in a single PDF, each tier behind its own divider page - 140 sheets in one file.
Every sheet in February 1982
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st February 1982A train slows steadily from 37 m/s to rest in 4 seconds. Work out its deceleration.
- 2nd February 1982A cuboid measures 13 cm by 6 cm by 4 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 3rd February 1982A 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?
- 4th February 1982A histogram has two bars: one 5 units wide with frequency density 1.5, one 5 units wide with density 3. How many values in total?
- 5th February 1982Rationalise the denominator of 18/sqrt(3), giving your answer in its simplest form.
- 6th February 1982The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 360.
- 7th February 1982y is inversely proportional to x^2. When x = 2, y = 36. Work out y when x = 3.
- 8th February 1982A cuboid measures 6 cm by 7 cm by 14 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 9th February 1982A bag holds 6 red, 4 blue and 6 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 10th February 1982On a histogram, a 4-wide bar and a 8-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 11th February 1982Simplify sqrt(48) + sqrt(27), giving your answer in the form a sqrt(b).
- 12th February 1982A quadratic sequence starts 16, 35, 64, 103. Work out the second difference, and the coefficient of n^2.
- 13th February 1982y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 3.
- 14th February 1982The point (20, 21) lies on the circle x^2 + y^2 = 841. Work out the gradient of the tangent to the circle at that point.
- 15th February 1982A bag holds 6 counters, r of them red. Two are taken without replacement and P(both red) = 1/5. Work out r.
- 16th February 1982A histogram has two bars: one 5 units wide with frequency density 1.2, one 20 units wide with density 0.6. How many values in total?
- 17th February 1982A rectangle is 8 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 18th February 1982Solve x^2 + 9x + 18 > 0.
- 19th February 1982y is directly proportional to sqrt(x). When x = 4, y = 18. Work out y when x = 16.
- 20th February 1982In a circle theorem proof, a step uses the fact that OA and OB are both radii of the circle, so triangle OAB is isosceles. State the reason being quoted.
- 21st February 1982The probability of winning a game is 1/4. A player expects 5 wins. How many games did they play?
- 22nd February 1982On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 23rd February 1982Expand and simplify (3 + sqrt(7))(3 - sqrt(7)).
- 24th February 1982Write x^2 + 6x + 3 in the form (x + a)^2 + b.
- 25th February 1982A train slows steadily from 22 m/s to rest in 8 seconds. Work out its deceleration.
- 26th February 1982In a vector proof you find that vector PQ = 6a + 6b and vector RS = 24a + 24b. What does this show about PQ and RS?
- 27th February 1982A bag holds 6 red and n blue counters. The probability of taking a red is 3/5. Work out n.
- 28th February 1982A histogram has two bars: one 5 units wide with frequency density 1.5, one 10 units wide with density 3.5. How many values in total?