Daily Practice · Higher Plus
June 2002 - Higher Plus 5-a-day
Every Higher Plus sheet published in June 2002, with answers. Grades 8-9 - exam-stretch algebra, geometry and reasoning.
Printing for a group?
The batch download puts all 5 tiers' June 2002 sheets in a single PDF, each tier behind its own divider page - 150 sheets in one file.
Every sheet in June 2002
The same date always regenerates the same five questions, so a sheet you print today is the sheet a classmate prints tomorrow.
- 1st June 2002On a histogram, a 5-wide bar and a 10-wide bar have the same frequency density of 3. How many more values are in the wider class?
- 2nd June 2002x = 144 and y = 23, each correct to the nearest whole number. Work out the upper bound of x - y.
- 3rd June 2002Work out the nth term of the quadratic sequence -5, -5, -3, 1, ...
- 4th June 2002y is directly proportional to x^3. When x = 3, y = 162. Work out y when x = 4.
- 5th June 2002In a circle theorem proof, a step uses the fact that opposite angles of a cyclic quadrilateral are being proved. State the reason being quoted.
- 6th June 2002The probability of winning a game is 3/5. A player expects 42 wins. How many games did they play?
- 7th June 2002A histogram has two bars: one 5 units wide with frequency density 2, one 25 units wide with density 3.5. How many values in total?
- 8th June 2002A car covers 880 m (to the nearest 10 m) in 2 s (to the nearest second). Work out the lower bound of its speed, to 2 decimal places.
- 9th June 2002The point (-4, 2) lies on y = f(x). Write down its image on y = f(-x).
- 10th June 2002y is directly proportional to sqrt(x). When x = 49, y = 21. Work out y when x = 16.
- 11th June 2002In a vector proof you find that vector PQ = 3a + 4b and vector RS = 12a + 16b. What does this show about PQ and RS?
- 12th June 2002A bag holds 3 red and n blue counters. The probability of taking a red is 3/5. Work out n.
- 13th June 2002On 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?
- 14th June 2002Rationalise the denominator of 70/sqrt(7), giving your answer in its simplest form.
- 15th June 2002Prove that the sum of 4 consecutive integers is always a multiple of 2. State the simplified sum you would use.
- 16th June 2002A train slows steadily from 34 m/s to rest in 5 seconds. Work out its deceleration.
- 17th June 2002A cuboid measures 3 cm by 6 cm by 14 cm. Work out the length of the longest diagonal inside it, to 1 decimal place.
- 18th June 2002A bag holds 4 red and 10 blue counters. Two are taken without replacement. Given the first was red, what is the probability the second is blue?
- 19th June 2002A histogram has two bars: one 10 units wide with frequency density 0.4, one 20 units wide with density 0.8. How many values in total?
- 20th June 2002Simplify sqrt(27) + sqrt(147), giving your answer in the form a sqrt(b).
- 21st June 2002f(x) = 6x - 7 and g(x) = 2x + 1. Work out fg(2).
- 22nd June 2002y is inversely proportional to x^2. When x = 2, y = 25. Work out y when x = 5.
- 23rd June 2002A cuboid measures 12 cm by 13 cm by 9 cm tall. Work out the angle between its longest internal diagonal and the base, to 1 decimal place.
- 24th June 2002A bag holds 5 red, 3 blue and 5 green counters. Two are taken without replacement. Given neither is green, what is the probability both are red?
- 25th June 2002On a histogram, a 10-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 June 2002A rectangle is 23 cm by 20 cm, each correct to the nearest cm. Work out the upper bound of its area.
- 27th June 2002The curve y = sin x° is drawn for 0 <= x <= 360. Write down the value of y when x = 360.
- 28th June 2002y is directly proportional to x^3. When x = 3, y = 108. Work out y when x = 5.
- 29th June 2002The 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.
- 30th June 2002A bag holds 10 counters, r of them red. Two are taken without replacement and P(both red) = 2/9. Work out r.