Fraction
James cuts 3/5 m of wire into 6 equal lengths.
What is the length of each piece of wire? Express your answer as a fraction in its simplest form.
1/10
8% of _____ is 40.
500
William had some blue socks, grey socks and black socks in the ratio 8 : 2 : 5. What fraction of his socks are black? Express your answer in the simplest form.
1/3
Janice rolled a circular hoop of radius 14 cm through 3 complete turns. Find the distance travelled by the hoop. Take pi to be 22/7.
176 cm
A circular clock has a diameter of 30 cm. Find its circumference. (Take pi to be 3.14)
94.2 cm
Mina wants to pour 28 ℓ of syrup into some bottles.
She wants to fill each bottle with 7/10 ℓ of syrup. How many bottles does Mina need?
40
Express 60 cm as a percentage of 5 m.
12%
The ratio of the number of men to women at a concert is 3 : 5. The ratio of the number of women to children is 2 : 3. What is the ratio of the number of men to women to children?
6:10:15
Find the perimeter of a semicircle of diameter 21 cm. Take pi to be 22/7
54 cm
During an annual sale, the selling price of a toy gun decreased from $180 to $138.60. Find the percentage discount.
23%
Peihua bought a large pizza. She kept 1/5 of it and divided the rest equally among her friends. How many friends were there if each of them received 2/15 of the rest of the pizza?
6
There were 990 visitors in a museum on Sunday. This was 390 more than the number of visitors on Saturday. Find the percentage increase in the number of visitors from Saturday to Sunday.
65%
The mass of Box A is 4/9 of the mass of Box B. The ratio of the mass of Box B to that the mass of Box C is in the ratio 2 : 3. What fraction of the total mass of the boxes is the mass of Box B? Give your answer in its simplest form.
18/53
A circular wheel has a radius of 14 cm. How many complete turns must it make to cover a distance of 880 cm? Take pi to be 22/7.
10
Oman, Sunitha and Wan Xin travel different distances to get to work. Oman travels 4/5 of the distance that Sunitha travels, while Sunitha travels 3/4 of the distance Wan Xin travels. Oman and Sunitha travel a total of 40.5 km. Find the distance Wan Xin travelled.
30 km
5/7 of the passengers on a train carry backpacks.
3/4 of the remaining passengers carry handbags.
91 more passengers carry backpacks than handbags. How many passengers are there on the train altogether?
182
Mdm Noraini made some door gifts for a party but realised she did not make enough. If she made another 12%, she would still be short of 27. If she made another 40%, she would have 43 more than what she needed. How many door gifts did Mdm Noraini make?
250
There are some members in the drama club, dance club and swim club. The number of members members in the drama club is 2/5 of the number of members that in the dance club and 5/6 of the number of members in the swim club&. 55% of the students members in the three clubs are female. If there were 539 female members, how many more members were in the dance club than the swim club?
220
A toy bicycle has two wheels of different sizes. The large wheel has a radius of 21 cm. When the large wheel makes a complete turn, the small wheel makes 3 complete turns. Find the circumference of the small wheel. Take pi to be 22/7.
44 cm
The ratio of Haziq’s age to Li Na’s age now is 5 : 11.
In 15 years' time, Haziq will be 5/8 as old as Li Na. How old is Haziq now?
33 years old
At an animal exhibit, 1/4 of the animals are reptiles. 5/8 of the remainder are mammals and the rest are amphibians. The number of male reptiles is 1/3 of the number of amphibians. There are 28 more amphibians than female reptiles. How many animals are there altogether at the exhibit?
224
40% of the people on a bus were adults at first. Some adults boarded the bus and the percentage of adults on the bus increased to 80%. There were a total of 135 adults and children on the bus in the end. How many adults were on the bus at first?
80
Glasses A, B and C contain 100 ml of water each. How much water should be transferred from Glass C to Glass B and Glass C to Glass A so that the new ratio of the amount of water in Glass A to the amount of water in Glass B to the amount of water in Glass C is 7 : 6 : 2?
C to A --- 40 ml
C to B --- 20 ml
Alice has two quarter circles. One quarter circle, A, has a radius of 5.2 cm and the other quarter circle, B, has a radius of 6.4 cm. Alice wants to line the perimeter of each quarter circle with ribbon. Find the total length of ribbon that Alice needs. Give your answer correct to 2 decimal places. (Take pi to be 3.14)
41.41 cm
Along a road, rubbish bins are located 3.5 m apart from one another. From the first bin at the start of the road to the last bin at the end of the road, there are a total of 15 rubbish bins. Find the length of the road.
49 m