Selective Mock Test – Math Reasoning

A teacher bought 5 similiar calculators and 16 similiar pens for $199. Each pen cost $4. Find the cost of each calculator. ?

The total weight of 13 similiar packets of rice is 91 kg. How many kilograms do 5 such packets of rice weigh?

If 21 dozen sweets are shared equally among a class of students, each of them will receive 7 sweets. How many more sweets will each student receive than before if 396 sweets are shared equally among them?

A water tank measuring 25 cm by 30 cm by 40 cm is 87% filled with water. How many more litres of water can the water tank hold?

Zhihua saves some coins. 32% of them are twenty-cent coins while the rest are fifty-cent coins. If Zhihua has 128 twenty-cent coins, find the total value of the coins that he has.

There are 180 men and 210 women at a stadium. There are 60% more children than adults at the stadium. 75% of the children are boys. How many boys than girls are there at the stadium?

How many multiples of 9 between 1 and 60 are odd numbers?

Multiply the lowest common multiple of 7 and 11 by the highest common factor of 26 and 65. The answer is .

What is the largest odd number that will divide 70 and 84 exactly?

A farmer fenced the four sides of a square plot of land for $960. If each metre of fencing costs $12, find the area of the square plot of land

How many 5-cm square tiles are needed to cover a wall measuring 1 m 50 cm by 65 cm?

The perimeter of a square is 4 times as long as the perimeter of a rectangle. The rectangle is 22 cm long and 14 cm wide. Find the total area of the square and the rectangle.

Diana had 75 stamps. She gave 2/5 of the stamps to Carol and 1/3 of them to Jega. How many stamps had Diana left?

Eva is \(1\frac{1}{4}\) m tall. Linda is 1/3 m taller than Eva. Bridget is 5/12 m shorter than Linda. How tall is Bridget? 

Alice had $96. She donated 5/12 of the money to charity and spent 3/4 of the remaining amount on books. How much money had Alice left?

A jug can hold 5 times as much water as a mug. If the capacity of jug is 1.9 litres, how many litres of water can 9 similar mugs hold?

The watermelon is heavier than a jackfruit by 285 g. The watermelon weighs 2.07 kg. Find the total weight of the watermelon and the jackfruit in kilograms.

Mr. Fu bought 14 exercise books, 22 pencils, and a pen. He gave the cashier a twenty-dollar note and received $6.30 in change. Each exercise book cost $0.45, and each pencil cost $0.25. How much did the pen cost?

The charges for using a badminton court are $3 for the first hour and $1.20 for each subsequent half an hour. How much does it cost for using the badminton court from 11.20 a.m to 1.50 p.m?

There are 3 teams of security guards working at a factory checkpoint. Each team works for 8 hours. On a certain day, the first team reports for duty at 7.00 a.m. At what time does the third team report for duty?

A seamstress takes 40 minutes to sew 5 T-shirts. She starts sewing at 1.25 p.m and stops at 4.05 p.m. How many T-shirts does the seamstress sew?

Find the average number of storybooks purchased in each month.

Line BC is perpendicular to line BE and line .

Which four points form a rectangle?

The average length of 10 sticks is 75.8 cm. The average length of 7 of them is 83 cm. Find the average length of the remaining 3 sticks.

Mrs Lee is 8 years younger than Mr Lee. Five years ago, Mr Lee was 36 years old. Find the average age of Mr and Mrs Lee 5 years from now.

The average monthly income of a salesman during the first 8 months of a certain year is $980. Find the average monthly income for the remaining 4 months that he has to earn so that his average monthly income throughout the year is $ 1 000.

A wooden cuboid measures 20 cm by 35 cm by 14 cm. Each cubic centimetre of the cuboid weighs 4 g. Find the weight of the wooden cuboid in kilograms.

Find the largest number of bricks measuring 20 cm by 10 cm by 5 cm which can be placed into a box measuring 60 cm by 40 cm by 20 cm.

A cuboid measures 20 cm by 18 cm by 8 cm, A 2-cm cube is cut out from one of the corners of the cuboid. What is the volume of the remaining solid?

John was thrice as old as Lisa 5 years ago. Their total age now is 42 years. How old is Lisa now?

In the diagram shown below, Length of A is \(\frac{1}{3}\) as long as the length of B. If B has an area of 486 \(cm^2\), find the perimeter of the whole rectangle.

The rectangular block of wood is 24 cm long, which is three times as long as its height, and the width is twice as wide as its height. What is its volume?

Rebecca bought 4 skirts and 15 shirts for a total of $216. If each skirt costs three times as much as each shirt, how much more did each skirt cost than each shirt?

Jenny, Bob and Paul shared a sum of money. Jenny received 2/5 of the money, Bob received 1/4 of the money and Paul received the rest of the money. If Paul received $1.50 more than Bob, how much more money did Jenny receive than Paul?

A sum of money is shared between Dave and Lucas in the ratio 4 : 5. If Lucas gives $9 to Dave, they would have the same amount of money. How money does Lucas have?

A doctor prescribed 8 tablets of antibiotics to Mrs Cameron. She was instructed to take one tablet every 6 hours. She took the first table at 2.00 p.m on Monday. When did Mrs Cameron take the last tablet? (State the day and time)

12 girls have an average of 35 beads. When 3 more girls join in, their average number of beads become 42. What is the average number of beads of the 3 new girls?

Dean has 20% more paper clips than Ron. If Dean gives 10 paper clips to Ron, they will have the same number of paper clips. How many paper clips does Ron have?

The ratio of the area of a square to that of a rectangle is 4 : 7. If the square has a perimeter of 36cm and the rectangle has a length of 15cm, what is the width of the rectangle?