Kate collects coins. Everyday, she gets 6 additional coins, On every 4^th day, she gives 4 coins to her sister. If Kate started with 24 coins, on which day will Kate have 70 coins?

Maria cuts a trapezoid with bases 4 cm and 8 cm and a height of 5 cm from a 9 cm by 10cm cardboard. How many sq. cm of cardboard were left unused?

Jose has rectangular prism made of wood. It measures 10cm by 9cm by 5cm. He wants to cut it into 5 pieces with equal volume. What is the volume of its piece?

400 marbles are to be given out to a certain number of students. Each student must not get more than 12 marbles. At least how many students will get the same number of marbles?

If two cars travel in the opposite directions from the same place at same time, they will be 1000 km apart after 5 hours. If they travel in the same direction, the faster car will be 200 km ahead after 5 hours. Find the driving speed of the two cars.

If 50 persons can consume a certain amount of food in 2 months, in how many months can 30 persons consume the same amount of food?

If 6 men can paint a wall in 64 hours, find the number of men required to paint the wall in 48 hours?

In an evacuation center, foods for 2 000 people was sufficient for 54 days. After 15 days, a few more people came and the ratio lasted only for 20 more days. How many people came?

Joshua has 3 locks and 8 keys mixed up in a bag. Each key can only open one of the locks and no two locks can be opened by the same key. What is the least number of tries that Joshua needs to ensure that the correct key to every lock is found?

One pipe can fill a swimming pool in 10 hours, while another pipe can empty the pool in 15 hours. How long would it take to fill the pool if both pipes were accidentally left open?

Tom and Jerry have to clean their house for their family reunion next week. Tom can clean the house alone in 6 hours. If Tom helps, they can finish cleaning the house in 4 hours. How long would it take Tom to clean the house by himself?

Megan and Sharon had 90 storybooks altogether. When Megan gave 9 of her storybooks to Sharon, Sharon had 5 times as many storybooks as Megan. How many storybooks did Sharon have at first?

Sheila has 302 beads and Carissa has 164 beads. How many beads must Sheila give to Carissa in order for both of them to have an equal number of beads?

Joyce and Dolly had 92 sweets altogether. After Joyce gave Dolly 12 sweets, both of them had the same number of sweets. Find the number of sweets Dolly had at first.

John and Mary had ₱384 altogether. After John gave ₱36 to Mary, Mary had 3 times as much money as John. How much money did Mary have at first?

Last month, the ratio of the number of male workers to female workers in a factory was 15:7. There were 56 female workers in the factory. Some of the male workers were retrenched this month. As a result, the ratio of the remaining male workers to the number of female workers became 3:4. How many male workers were there in the factory this month?

At the beginning of a meeting, the ratio of women to men was 2:3. There were 72 women. Later some men left the meeting, and the ratio of the number of women to the remaining number of men became 3:2. How many men left the meeting?

Two cars, travelling at 62 km/h and 54 km/h respectively, left Town A for Town B at the same time. The faster car passed an oncoming truck 10 hours later. An hour after that, the slower car and the truck also passed each other. Find the speed of the truck.

Peter had 4 times as much money as Jane at first. After Peter spent ₱375, Jane had 4 times as much money as Peter. How much money did Peter have at first?

Shawn had 5 times as many marbles as Ted. After Shawn gave away 36 of his marbles, he had half as many marbles as Ted. How many marbles did Ted have?

Elle had ₱56 more than Fiona. After Fiona spent ₱16 on a storybook, Elle had 4 times as much money as Fiona. How much money did Ella have at first?

Mitch had an equal number of black and white beads. After giving away 37 black beads and buying another 83 white beads, he found that he had 5 times as many white beads as black beads. How many black beads did he have at first?

Mark has a bag of 79 balls. There are 25 balls for each of the colors red, green and yellow, while the rest are either black or white. He wants to take some balls from the bag such that there are at least 5 balls of the same color. What is the minimum number of balls Mark needs to take from the bag?

Jolyn has a total of 35 sweets in 6 bags. Each bag contains a different number of sweets and the 6th bag has the most number of sweets. What is the least number of sweets the 6th bag can possibly have?

Two trains travelled towards each other on different tracks. Train 𝐴 travelled at a speed of 54 km/h and Train 𝐵 travelled at 72 km/h. A commuter aboard Train 𝐴 recorded that Train 𝐵 took 8 seconds to pass his window seat completely. How long was Train 𝐵?

A container was 3 /4

full at first. After 100 𝑙 of

water was drained away, it became

5/ 12 full. What

was the capacity of the container?

There are as many yellow marbles as black marbles in a bottle. After 32 yellow marbles and 76 black marbles were removed, there are 5 times as many yellow marbles as there are black marbles. How many marbles are there altogether at first?

The ratio of the number of cards that Sheena had to the number of cards that Gel had was 11:7.Sheena had 308 cards. How many cards did Sheena and Gel have altogether?

Given that A : B = 5 : 4. B : C = 7 : 2 and D : C = 3 : 4, find the value of D if A = 210.

Nikki thought of a whole number and then multiplied it by either 5 or 6. Carissa added 5 or 6 to Nikki’s answer. Finally, Maria subtracted either 5 or 6 from Carissa’s answer. The final result was 73. What number did Nikki choose?

22 students from Class A scored 90 marks and above in a mathematics examination. 30 students from the same class scored 90 marks and above in a science examination. If the class size is 42, how many students scored 90 marks and above in both examination?

Among the families in a community, 2/ 5

have air conditioning, 1/ 3 don’t have refrigerator, 1/ 6 have neither air conditioning nor refrigerator, and 49 families have both air conditioning and refrigerator. How many families are in the community?

How many numbers from 1 to 80 are divisible by 3, 4, and 5?

On a 100 cm measuring stick, marks are made at 19, 𝑁, and 99 cm, from left to right. The distance between the marks at 𝑁 and 99 cm is three times the distance between the marks at 𝑁 and 19 cm. What number is 𝑁?

The product of two numbers is 144. The sum of the two numbers is 30. Find the two numbers.

There are 5 red balls, 5 white balls and 3 green balls in a bag. List out all the possible results on the color of balls he will draw out 3 balls from the bag.

How many four-digit numbers using each of 0, 2, 4, and 5 once are divisible by 5?

Twenty girls stood in a row facing right. Four boys joined the row but facing left. Each boy counted the number of girls in front of him. The numbers were 3, 6, 15 and 18 respectively. Each girl also counted the number of boys in front of her. What was the sum of the number counted by the girls.

Ann, Jane and May shared 360 stamps in the ratio 3:4:5. How many stamps did Ann have?

Barton, Carl and Dan were having a 100-m race. When Carl dashed across the finishing line, Barton was 10 m away and Dan was 15 m away. How far was Dan away from the finishing line when Barton completed the race?

Frank and Ronnie embarked on a moving escalator to the second floor of a shopping mall. Frank walked up the escalator at a speed of 2 steps every second. At the same time, Ronnie walked up the same escalator at a speed of 3 steps every 2 seconds. Frank arrived at the second floor in 25 seconds. It took Ronnie 30 seconds to reach the same floor. How many steps has the escalator when it is stationary?

Three boy Abel, Ben and Chris participated in a 100 m race. When Abel crossed the 100 m mark, Ben was at the 90 m mark. When Ben crossed the 100 m mark, Chris was at the 90 m mark. By how many meters did Abel beat Chris?

Jane and Peter competed in a 100 m race. When Peter crossed the finishing line, Jane just crossed the 90 m mark. If Peter were to start 10 m behind the starting line, the distance between them when one of them crosses the finishing line is 𝑥 m. Find the value of 𝑥.

Mary attends her ballet training for 1 hr and 45 min. After 20 min she attends her voice lesson for 2 h and 5 min. If she starts her ballet training at 2:30 pm, at what time will she end her voice lesson?

Mario has 60 kg of rice. He packed them into 4 small packs in the ratio of 1:2:3:4. What is the total weight of the smallest and biggest packs?

On the first day, one tourist came to visit the park. If on each succeeding day a group of tourist with 2 more persons than the previous group visit the park, how many tourists will be on the 12^th day?