Level 3
The average test score of a group of pupils was 57 marks. After 4 pupils who scored an average of 69 marks joined the group, the average score of all the pupils became 61 marks. How many pupils were there in the group at first?

Level 3
The average test score of a group of students was 71 marks. After five students who scored an average of 79 marks left the group, the average score of the group became 69 marks. How many students were there at first?

Level 3
In a class, 9 girls jumped an average of 1.37 m for their standing broad jump in their fitness test. The boys in the same class jumped an average of 1.65 m in the same test. The total average of the whole class was 1.56 m. How many boys were there?

Level 3
The average height of a group of boys was 143 cm. After 6 girls with a total of 948 cm joined the group, the average height of all the children increased to 146 cm.

1. What was the average height of the girls?
2. How many boys were there in the group?

Level 3
Lizzy bought some souvenirs for her friends at an average price of $12.50. If Lizzy decided to buy a pen which cost $16 for her father and a bag which cost $35 for her mother, the average price of the souvenirs would become $15.75. How many souvenirs did Lizzy buy for her friends?

Level 3 PSLE
Lina baked a total of 40 large and small cakes in the ratio of 5 : 3. She decorated each cake with some strawberries in the ratio of 3 : 2. She used a total of 204 strawberries to decorate all the small cakes and 7 large cakes.

1. How many small cakes did Lina bake?
2. What was the number of strawberries used to decorate all the small cakes?
3. How many more strawberries did Lina need to decorate the remaining large cakes?

Level 3
A burger cost three times as much as a sandwich at a cafe. Mr Lim spent ¹₄ of his money on some sandwiches and half of the remaining sum on 2 burgers. He had $30 left.

1. What was the cost of 1 sandwich?
2. Mr Lim bought 5 burgers and 6 sandwiches. How much did he spend altogether?

Level 3
Minzy bought some pouches and bags for her friends. The price of each pouch was $2.40 while the price of each bag was $10.80. For every 4 bags bought, she was given one such pouch for free. After receiving the free pouches, the number of pouches was ¹₃ of the number of bags bought. If Minzy paid a total of $1584, how much more did she pay for the bags than the pouches?

Level 3
A pen cost $1.50. A notebook cost $15.50 more than the pen. Clare spent $340 on such pens and notebooks. She bought twice as many pens as notebooks.

1. How many notebooks did Clare buy?
2. How much money did Clare spend on the pens?

Level 3
Hazel had $18.60 in coins. She had four times as many 10-cent as 50-cent coins and 11 more $1 coins than 50-cent coins. How many coins does she have in total?

Level 3
3 pupils shared the cost of a present equally. When calculating the amount each pupil had to pay, a mistake was made. The cost of the present was divided by 4 instead of 3. Each pupil ended up paying $3.90 less than the correct amount. What should be the correct amount for each share?

Level 3
A coin bank contains some twenty-cent and fifty-cent coins in the ratio of 4 : 5. When 16 fifty-cent coins were taken out and replaced by some twenty-cent coins, the ratio became 8 : 7. The total value of the twenty-cent coins added was the same as the total value of the fifty-cent coins taken out. Find the sum of money in the coin box.

Level 3 PSLE
The photocopying rates of two machines A and B are as shown. Both machines were use to make a copy of a set of notes which had been divided into teacher set and student set. Machine A took 7 minutes is to photocopy teacher set and Machine B took 9 minutes to photocopy student set.

1. How many pages were there altogether in the set of notes?
2. Another copy of the same set of notes was made using Machine B only. How many minutes did Machine B take?

Level 3
Daniel saved some 50-cent coins and $1 notes in his coin box. The total value of the 50-cent coins to the total value of the $1 notes he had was in the ratio 2 : 5. After $14 worth of 50-cent coins and an equal value of $1 notes were added to the coin box, the ratio of the total value of 50-cent coins to the total value of $1 notes became 5 : 9. How many of each type did Daniel have in the end?

1. 50-cent coins?
2. $1 notes?

Level 3 PSLE
Three boys, Az, Ben and Ix had the same number of notes. Az and Ben each had of mix of $10-notes and $2-notes. Az had 7 $2-notes while Ben had 13 $2-notes. Ix had only $10-notes.

1. Of the three boys, who had the most money?
2. What was the difference in the total value of Az and Ben's notes?
3. Ben used all his $10-notes to buy a present. He then had $164 less in notes than Ix. How many $10-notes did Ix have?

Level 3
Cathy's shop sold bracelets and rings. The bracelets were sold at $100 each and each ring was sold at ⁴₅ of the price of each bracelet. Cathy sold ¹₄ of the items on the first day and collected $15580. ³₄ of the items sold on the first day were bracelets.

1. How many rings were sold on the first day?
2. What was the total number of items left after the first day?

Level 3
A bag of candies was distributed equally among 16 pupils. When 7 of these pupils gave up ³₅ of their share, the rest of the pupils received 14 more candies each. How many candies were there in the bag?

Level 3
Carl had a total of 90 notes. The notes are $10 notes and $5 notes. After he spent 20% of the $10 notes and 60% of the $5 notes on a stereo system, he was left with 4 times as many $5 notes as $10 notes. How much did the stereo system cost?

Level 3
Alfred had some peaches in 3 sizes. The number of medium peaches was twice the number of large peaches. The number of large peaches were three times the number of small peaches.
The price of each peach are as follows:
Small $4
Medium $7
Large $9

He sold all the small and medium peaches. He received $360 from selling ¹₃ of the large peaches.

1. How many large peaches did he have at first?
   
2. How much less did he collect from selling the small peaches than the medium peaches?

Level 3
Kate had some fruits at her stall. ³₄ of them were mangosteens, ¹₃ of the remainder were apples and the rest were coconuts. The amounts earned for each mangosteen, each Fuji apple and each coconut sold are $1.50, $3.00 and $4.50 respectively.

The number of mangosteens sold to the number of apples sold to the number of coconuts sold was 3 : 5 : 3. In total, she sold ¹₄ of the fruits and earned $198. How many coconuts did she have at first?