Daily Practice · Higher Plus
July 1980 5-a-day
Printing for a group?
The batch download puts all 5 tiers' July 1980 sheets in a single PDF, each tier behind its own divider page - 155 sheets in one file.
Every sheet in July 1980
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st July 1980The probability of winning a game is 1/4. A player expects 4 wins. How many games did they play?
- 2nd July 1980On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 1.5. How many more values are in the wider class?
- 3rd July 1980Simplify sqrt(32) + sqrt(2), giving your answer in the form a sqrt(b).
- 4th July 1980Simplify (x^2 - 7x + 12)/(x - 4).
- 5th July 1980A train slows steadily from 32 m/s to rest in 8 seconds. Work out its deceleration.
- 6th July 1980In a vector proof you find that vector PQ = a + b and vector RS = 5a + 5b. What does this show about PQ and RS?
- 7th July 1980A bag holds 8 red and n blue counters. The probability of taking a red is 8/15. Work out n.
- 8th July 1980A histogram has two bars: one 5 units wide with frequency density 1.5, one 20 units wide with density 3.5. How many values in total?
- 9th July 1980A rectangle is 27 cm by 19 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 10th July 1980In an algebraic proof, how would you write three consecutive even numbers in terms of an integer n?
- 11th July 1980y is inversely proportional to x^2. When x = 4, y = 16. Work out y when x = 2.
- 12th July 1980A cuboid measures 7 cm by 5 cm by 6 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 13th July 1980A bag holds 4 red and 6 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 14th July 1980On 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?
- 15th July 1980Expand and simplify (9 + sqrt(11))(9 - sqrt(11)).
- 16th July 1980Make x the subject of 4x + 2 = y(x + 2).
- 17th July 1980y is directly proportional to x^3. When x = 4, y = 384. Work out y when x = 5.
- 18th July 1980A cuboid measures 8 cm by 12 cm by 7 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 19th July 1980A bag holds 4 red, 6 blue and 3 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 20th July 1980A histogram has two bars: one 20 units wide with frequency density 2.5, one 10 units wide with density 3.5. How many values in total?
- 21st July 1980A block has mass 620 g (to the nearest 10 g) and volume 13 cm^3 (to the nearest cm^3). Work out the upper bound of its density, to 2 decimal places.
- 22nd July 1980Write 7/(x + 6) + 4/(x - 2) as a single fraction.
- 23rd July 1980y is directly proportional to sqrt(x). When x = 9, y = 9. Work out y when x = 16.
- 24th July 1980The point (6, 8) lies on the circle x^2 + y^2 = 100. Work out the gradient of the tangent to the circle at that point.
- 25th July 1980A bag holds 7 counters, r of them red. Two are taken without replacement and P(both red) = 2/7. Work out r.
- 26th July 1980On a histogram, a 5-wide bar and a 20-wide bar have the same frequency density of 2. How many more values are in the wider class?
- 27th July 1980x = 200 and y = 49, each correct to the nearest whole number. Work out the upper bound of x - y.
- 28th July 1980Solve 16x^2 + 24x + 9 = 0.
- 29th July 1980A train slows steadily from 32 m/s to rest in 4 seconds. Work out its deceleration.
- 30th July 1980In a circle theorem proof, a step uses the fact that the three angles of triangle OAB are being summed. State the reason being quoted.
- 31st July 1980The probability of winning a game is 5/8. A player expects 20 wins. How many games did they play?