Question
(a) (i) 1 and 120 are factors of 120.
Write down another factor of 120.
(ii) Find the highest common factor of 120 and 900.
(b) 2 5 15 24 49 60 258 512
From the list, write down
(i) a multiple of 30,
(ii) a square number,
(iii) the cube root of 8.
(c) Give an example to show that the following statements are not true.
(i) An odd number multiplied by an even number gives an odd number.
(ii) The cube of a negative number is positive.
(d) Use < , > , or = to complete the following statements.
Each symbol may be used more than once.
(i) 0.5 ………………………….. \(\frac{3}{8}\)
(ii) 1.5 ………………………….. 105%
(iii) 0.78 ………………………… \(\frac{11}{14}\)
Answer/Explanation
Answer:
(a) (i) 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30,
40, 60.
(ii) 60
(b) (i) 60
(ii) 49
(iii) 2
(c) (i) Any correct example
(ii) Any correct example
(d) (i) >
(ii) >
(iii) <
Question
(a) The table shows the temperature at noon each day for one week in a city.
Monday | Tuesday | Wednesday | Thursday | Friday | Saturday | Sunday |
5°C | 2 °C | −3°C | −1°C | 0 °C | 1°C | −2 °C |
(i) Which day had the lowest noon temperature?
(ii) Find the difference between the noon temperatures on Tuesday and Wednesday.
……………………………………….°C
(iii) Write these seven temperatures in order, starting with the lowest.
(iv) On Sunday the noon temperature was −2°C.
The next day the noon temperature fell by 4°C.
Find the noon temperature on the next day.
(b) The number of houses in the city is 1935 364.
Write this number correct to the nearest million.
(c) The height, h metres, of a tower in the city is 120m, correct to the nearest 10m.
Complete this statement about the value of h.
……………….. < h < ………………..
(d) The diagram shows the cross section of a circular tunnel in the city.
Calculate the shaded area.
Answer/Explanation
Answer:
(a) (i) Wednesday
(ii) 5
(iii) -3 -2 -1 0 1 2 5
(iv) -6
(b) 2 million or 2 000000
(c) 115 125
(d) 28.3 or 28.27 to 28.28
Question
Whisper is a horse.
(a) Whisper eats three apples every day.
Work out how many apples she eats in 52 weeks.
(b) Whisper is exercised twice a day.
The first time is for 30 minutes.
The second time is for \(1\frac{1}{2}\) hours.
(i) Write down the fraction of a day that Whisper is exercised.
Write your answer in its simplest form.
(ii) Write down the fraction of a day that she is not being exercised.
(c) Whisper weighs 429 kg, correct to the nearest kilogram.
Complete the statement about her weight, wkg.
…………………… \(\leq \) w < ……………………
Answer/Explanation
Ans:
(a) 1092
(b) (i) \(\frac{1}{12}\) cao
(ii) \(\frac{11}{12}\) oe
(c) 428.5
429.5