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PSLE RME study materials
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PSLE RME practice questions

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Question 1Mathematics

A packet of stickers costs $2.40. Ravi buys 5 packets. How much does he pay in total?

  1. $14.40
  2. $10.20
  3. $7.40
  4. $12.00 Correct answer.

Explanation

To find the total cost, multiply the price of one packet by the number of packets: 2.40 × 5. Multiplying 240 cents by 5 gives 1200 cents, which is $12.00.

Question 2Mathematics

Which of these numbers is the largest?

  1. 0.65
  2. 0.705 Correct answer.
  3. 0.7
  4. 0.099

Explanation

Compare the digits place by place. In the tenths place 0.705, 0.7 and 0.65 all have 7 or 6, while 0.099 has 0. Among 0.705 and 0.7, the hundredths digit decides: 0 is equal, then the thousandths digit 5 beats 0, so 0.705 is largest.

Question 3Mathematics

A rectangle is 9 cm long and 4 cm wide. What is its perimeter?

  1. 26 cm Correct answer.
  2. 13 cm
  3. 36 cm
  4. 18 cm

Explanation

The perimeter of a rectangle is twice the sum of its length and width. Adding 9 and 4 gives 13, and doubling 13 gives 26 cm.

Question 4Mathematics

What is 3/4 of 48?

  1. 36 Correct answer.
  2. 16
  3. 12
  4. 32

Explanation

To take three quarters of a number, first divide by 4 to find one quarter, then multiply by 3. One quarter of 48 is 12, and 12 × 3 = 36.

Question 5Mathematics

A train leaves at 09:45 and arrives at 11:20. How long is the journey?

  1. 1 hour 25 minutes
  2. 2 hours 25 minutes
  3. 1 hour 45 minutes
  4. 1 hour 35 minutes Correct answer.

Explanation

Count from 09:45 to 10:45 as one hour, then from 10:45 to 11:20 as 35 minutes. Adding the two parts gives a journey of 1 hour 35 minutes.

Question 6Mathematics

Round 4 873 to the nearest hundred.

  1. 5 000
  2. 4 870
  3. 4 800
  4. 4 900 Correct answer.

Explanation

Look at the tens digit to decide. The tens digit is 7, which is 5 or more, so the hundreds digit rounds up from 8 to 9 and the rest becomes zero, giving 4 900.

Question 7Mathematics

A bag has 12 red marbles and 8 blue marbles. What fraction of the marbles are blue?

  1. 1/2
  2. 2/5 Correct answer.
  3. 3/5
  4. 2/3

Explanation

The total number of marbles is 12 + 8 = 20. The blue marbles are 8 out of 20, and simplifying 8/20 by dividing both parts by 4 gives 2/5.

Question 8Mathematics

What is the value of 6 + 2 × 5 − 4?

  1. 12 Correct answer.
  2. 36
  3. 20
  4. 16

Explanation

Order of operations requires multiplication before addition and subtraction. First 2 × 5 = 10, then 6 + 10 = 16, and finally 16 − 4 = 12.

Question 9Mathematics

A square has an area of 64 cm². What is the length of one side?

  1. 16 cm
  2. 8 cm Correct answer.
  3. 4 cm
  4. 32 cm

Explanation

The area of a square equals side × side, so the side is the square root of the area. Since 8 × 8 = 64, one side measures 8 cm.

Question 10Mathematics

A shirt is priced at $80. During a sale it is sold at a 15% discount. What is the sale price?

  1. $95
  2. $12
  3. $65
  4. $68 Correct answer.

Explanation

First find the discount: 15% of $80 is 0.15 × 80 = $12. Subtract the discount from the original price: 80 − 12 = $68.

Question 11Mathematics

The ratio of boys to girls in a class is 3 : 5. There are 40 pupils in total. How many girls are there?

  1. 8
  2. 25 Correct answer.
  3. 15
  4. 24

Explanation

The ratio has 3 + 5 = 8 equal parts. Each part is 40 ÷ 8 = 5 pupils. Girls take 5 parts, so there are 5 × 5 = 25 girls.

Question 12Mathematics

A car travels 180 km in 2.5 hours. What is its average speed in km/h?

  1. 72 km/h Correct answer.
  2. 45 km/h
  3. 450 km/h
  4. 90 km/h

Explanation

Average speed equals distance divided by time. Dividing 180 by 2.5 gives 72, so the average speed is 72 km/h.

Question 13Mathematics

A rectangular tank is 20 cm long, 10 cm wide and 15 cm high. How many litres of water will fill it completely?

  1. 30 litres
  2. 3 litres Correct answer.
  3. 300 litres
  4. 0.3 litres

Explanation

Volume equals length × width × height, so 20 × 10 × 15 = 3000 cm³. Since 1000 cm³ make 1 litre, the tank holds 3000 ÷ 1000 = 3 litres.

Question 14Mathematics

Simplify 3a + 5b − a + 2b.

  1. 8ab
  2. 4a + 7b
  3. 2a + 3b
  4. 2a + 7b Correct answer.

Explanation

Collect like terms separately. The a terms give 3a − a = 2a, and the b terms give 5b + 2b = 7b, so the simplified expression is 2a + 7b.

Question 15Mathematics

The mean of five numbers is 12. Four of the numbers are 8, 10, 15 and 11. What is the fifth number?

  1. 20
  2. 16 Correct answer.
  3. 14
  4. 12

Explanation

The total of all five numbers is 5 × 12 = 60. The four known numbers add to 8 + 10 + 15 + 11 = 44, so the fifth number is 60 − 44 = 16.

Question 16Mathematics

A pizza is cut into 8 equal slices. Ali eats 3 slices and Ben eats 2 slices. What fraction of the whole pizza is left?

  1. 5/8
  2. 1/8
  3. 2/8
  4. 3/8 Correct answer.

Explanation

Ali and Ben together eat 3 + 2 = 5 slices out of 8. The slices left are 8 − 5 = 3, so the fraction remaining is 3/8 of the pizza.

Question 17Mathematics

A number is multiplied by 4 and then 7 is added. The result is 43. What is the number?

  1. 8
  2. 12
  3. 9 Correct answer.
  4. 10

Explanation

Work backwards from the result. Subtract 7 from 43 to get 36, then divide 36 by 4 to get 9, so the original number is 9.

Question 18Mathematics

A triangle has angles of 48° and 67°. What is the third angle?

  1. 65° Correct answer.
  2. 55°
  3. 115°
  4. 75°

Explanation

The three angles of any triangle add to 180°. The two known angles sum to 48 + 67 = 115, so the third angle is 180 − 115 = 65°.

Question 19Mathematics

Express 0.375 as a fraction in its simplest form.

  1. 375/1000
  2. 1/3
  3. 3/4
  4. 3/8 Correct answer.

Explanation

0.375 means 375 thousandths, so it is 375/1000. Dividing both parts by 125 gives 3/8, which cannot be simplified further.

Question 20Mathematics

A shop sells pens at 3 for $2.10. How much would 7 pens cost at the same rate?

  1. $5.60
  2. $4.20
  3. $6.30
  4. $4.90 Correct answer.

Explanation

First find the cost of one pen: 2.10 ÷ 3 = 0.70. Then multiply by 7: 0.70 × 7 = 4.90, so 7 pens cost $4.90.

Question 21Mathematics

A cube has edges of 5 cm. What is its total surface area?

  1. 150 cm² Correct answer.
  2. 125 cm²
  3. 25 cm²
  4. 30 cm²

Explanation

A cube has 6 identical square faces. One face has area 5 × 5 = 25 cm², so the total surface area is 6 × 25 = 150 cm².

Question 22Mathematics

A bag contains 5 red, 3 green and 2 yellow counters. One counter is picked at random. What is the probability that it is green?

  1. 1/3
  2. 1/2
  3. 3/7
  4. 3/10 Correct answer.

Explanation

The total number of counters is 5 + 3 + 2 = 10. There are 3 green counters, so the probability of picking green is 3 out of 10, written 3/10.

Question 23Mathematics

The price of a book rises from $25 to $30. What is the percentage increase?

  1. 5%
  2. 25%
  3. 16.7%
  4. 20% Correct answer.

Explanation

The increase is 30 − 25 = $5. Percentage increase compares the increase with the original price: 5 ÷ 25 = 0.2, which is 20%.

Question 24Mathematics

Machine A produces 240 bottles in 4 hours. Machine B produces 180 bottles in 3 hours. Working together, how many bottles do they produce in 5 hours?

  1. 660
  2. 600 Correct answer.
  3. 540
  4. 420

Explanation

Machine A makes 240 ÷ 4 = 60 bottles per hour, and Machine B makes 180 ÷ 3 = 60 bottles per hour. Together they make 120 per hour, so in 5 hours they make 120 × 5 = 600 bottles.

Question 25Mathematics

A rectangular garden is 12 m long and 8 m wide. A path 1 m wide runs all the way around the outside of the garden. What is the area of the path?

  1. 96 m²
  2. 20 m²
  3. 44 m² Correct answer.
  4. 40 m²

Explanation

The garden plus path measures (12 + 2) by (8 + 2), because 1 m is added on both sides. That outer rectangle has area 14 × 10 = 140 m², and the garden is 12 × 8 = 96 m², so the path is 140 − 96 = 44 m².

Question 26Mathematics

Which of these numbers is a prime number?

  1. 29 Correct answer.
  2. 33
  3. 21
  4. 39

Explanation

A prime number has exactly two factors, 1 and itself. Checking small primes: 29 is not divisible by 2, 3, or 5, and 7 × 4 = 28 with 7 × 5 = 35, so 29 has no factor other than 1 and 29.

Question 27Mathematics

What is the highest common factor of 36 and 48?

  1. 6
  2. 16
  3. 12 Correct answer.
  4. 8

Explanation

List the factors: 36 has 1, 2, 3, 4, 6, 9, 12, 18, 36 and 48 has 1, 2, 3, 4, 6, 8, 12, 16, 24, 48. The largest factor appearing in both lists is 12.

Question 28Mathematics

A rectangle measures 9 cm by 4 cm. What is its perimeter?

  1. 36 cm
  2. 26 cm Correct answer.
  3. 13 cm
  4. 18 cm

Explanation

The perimeter of a rectangle is twice the sum of its length and width. Here 9 + 4 = 13, and doubling gives 26 cm.

Question 29Mathematics

Which of the following is equal to 3/4?

  1. 0.34
  2. 0.75 Correct answer.
  3. 0.43
  4. 0.70

Explanation

A fraction becomes a decimal when the numerator is divided by the denominator. Dividing 3 by 4 gives 0.75 exactly.

Question 30Mathematics

What is 4.6 × 100?

  1. 0.046
  2. 460 Correct answer.
  3. 4 600
  4. 46

Explanation

Multiplying by 100 moves every digit two place values to the left, so the decimal point shifts two places right. Thus 4.6 becomes 460.

Question 31Mathematics

A packet of sweets is shared equally among 5 children, and each child receives 8 sweets with 3 sweets left over. How many sweets were in the packet?

  1. 40
  2. 43 Correct answer.
  3. 45
  4. 48

Explanation

The total equals the number shared plus the remainder. Each of 5 children gets 8, giving 5 × 8 = 40, and adding the 3 left over gives 43.

Question 32Mathematics

Which of these numbers is divisible by 3?

  1. 124
  2. 417 Correct answer.
  3. 341
  4. 235

Explanation

A number is divisible by 3 when the sum of its digits is a multiple of 3. For 417 the digits add to 4 + 1 + 7 = 12, which is divisible by 3.

Question 33Mathematics

A jug contains 2.5 litres of juice. It is poured equally into 5 glasses. How many millilitres of juice are in each glass?

  1. 50 ml
  2. 1 250 ml
  3. 500 ml Correct answer.
  4. 250 ml

Explanation

First convert litres to millilitres: 2.5 litres = 2 500 ml. Sharing 2 500 ml equally among 5 glasses gives 500 ml per glass.

Question 34Mathematics

A train travels at a steady speed of 90 km/h. How far does it travel in 40 minutes?

  1. 60 km Correct answer.
  2. 45 km
  3. 36 km
  4. 72 km

Explanation

40 minutes is two thirds of an hour. Distance equals speed multiplied by time, so 90 × 2/3 = 60 km.

Question 35Mathematics

The ratio of the number of stamps Ali has to the number Ben has is 4 : 7. Ali has 36 stamps. How many stamps does Ben have?

  1. 63 Correct answer.
  2. 21
  3. 56
  4. 49

Explanation

Each ratio unit is worth 36 ÷ 4 = 9 stamps. Ben has 7 units, so 7 × 9 = 63 stamps.

Question 36Mathematics

A sum of $1 200 is shared between two sisters in the ratio 3 : 5. What is the difference between the larger share and the smaller share?

  1. $600
  2. $300 Correct answer.
  3. $750
  4. $450

Explanation

There are 3 + 5 = 8 ratio units in total, so each unit is worth $1 200 ÷ 8 = $150. The difference is 5 − 3 = 2 units, which is 2 × $150 = $300.

Question 37Mathematics

A trader buys a bicycle for $240 and sells it for $300. What is the percentage profit?

  1. 25% Correct answer.
  2. 30%
  3. 60%
  4. 20%

Explanation

Profit is $300 − $240 = $60. Percentage profit is measured against the cost price, so 60 ÷ 240 × 100% = 25%.

Question 38Mathematics

A sum of money earns simple interest at 4% per year. After 3 years the interest is $96. What was the sum of money?

  1. $800 Correct answer.
  2. $600
  3. $1 200
  4. $240

Explanation

Simple interest equals principal × rate × time. Here $96 = P × 0.04 × 3 = 0.12P, so P = 96 ÷ 0.12 = $800.

Question 39Mathematics

What is the next term in the pattern 3, 7, 15, 31, ...?

  1. 64
  2. 63 Correct answer.
  3. 47
  4. 62

Explanation

Each term is one less than double the previous term: 3 × 2 + 1 = 7, 7 × 2 + 1 = 15, and 15 × 2 + 1 = 31. Applying the rule again gives 31 × 2 + 1 = 63.

Question 40Mathematics

The average of four numbers is 15. When a fifth number is included, the average becomes 16. What is the fifth number?

  1. 18
  2. 16
  3. 20 Correct answer.
  4. 21

Explanation

The four numbers total 4 × 15 = 60, and five numbers with average 16 total 80. The fifth number is therefore 80 − 60 = 20.

Question 41Mathematics

Water flows into a tank at 2.5 litres per minute. How long will it take to fill a tank with a capacity of 450 litres?

  1. 90 minutes
  2. 120 minutes
  3. 150 minutes
  4. 180 minutes Correct answer.

Explanation

Time equals total volume divided by the rate of flow. Dividing 450 litres by 2.5 litres per minute gives 180 minutes.

Question 42Mathematics

A square piece of paper has a perimeter of 36 cm. A rectangle is made with the same perimeter but a length of 13 cm. What is the width of the rectangle?

  1. 11 cm
  2. 5 cm Correct answer.
  3. 13 cm
  4. 9 cm

Explanation

Half the perimeter of the rectangle is 36 ÷ 2 = 18 cm, which equals length plus width. With length 13 cm, the width is 18 − 13 = 5 cm.

Question 43Mathematics

A cube has a volume of 216 cm³. What is the total surface area of the cube?

  1. 36 cm²
  2. 324 cm²
  3. 144 cm²
  4. 216 cm² Correct answer.

Explanation

The edge of the cube is the cube root of 216, which is 6 cm. One face has area 6 × 6 = 36 cm², and six faces give 6 × 36 = 216 cm².

Question 44Mathematics

A bag contains 4 white and 6 black beads. Two beads are taken one after another without replacement. What is the probability that both beads are white?

  1. 3/10
  2. 4/25
  3. 8/45
  4. 2/15 Correct answer.

Explanation

The chance the first bead is white is 4/10. With one white removed, 3 of the remaining 9 beads are white, so the second probability is 3/9. Multiplying gives 4/10 × 3/9 = 12/90 = 2/15.

Question 45Mathematics

A triangle has a base of 12 cm and a height of 7 cm. What is its area?

  1. 84 cm²
  2. 168 cm²
  3. 19 cm²
  4. 42 cm² Correct answer.

Explanation

The area of a triangle is half the base multiplied by the perpendicular height. Half of 12 × 7 = 84 is 42 cm².

Question 46Mathematics

The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. What is the size of the largest angle?

  1. 72°
  2. 108°
  3. 36°
  4. 144° Correct answer.

Explanation

The angles of a quadrilateral add to 360°, and the ratio has 1 + 2 + 3 + 4 = 10 parts. Each part is 36°, so the largest angle is 4 × 36° = 144°.

Question 47Mathematics

A shop marks a bag at $150. A discount of 20% is given, and then 5% GST is added to the discounted price. What is the final price?

  1. $126 Correct answer.
  2. $127.50
  3. $135
  4. $120

Explanation

After the 20% discount the price is 0.8 × $150 = $120. Adding 5% GST gives 1.05 × $120 = $126.

Question 48Mathematics

Pipe A can fill a tank in 6 hours and Pipe B can fill it in 12 hours. If both pipes are opened together, how long will they take to fill the tank?

  1. 4 hours Correct answer.
  2. 6 hours
  3. 9 hours
  4. 3 hours

Explanation

In one hour Pipe A fills 1/6 of the tank and Pipe B fills 1/12. Together they fill 2/12 + 1/12 = 3/12 = 1/4 of the tank each hour, so the tank fills in 4 hours.

Question 49Mathematics

A sum of money doubles itself in 8 years at simple interest. In how many years will it become four times the original sum?

  1. 16 years
  2. 32 years
  3. 24 years Correct answer.
  4. 40 years

Explanation

Doubling means the interest earned in 8 years equals the principal, so each 8 years adds one more principal at simple interest. Reaching four times the sum needs three extra principals, so 3 × 8 = 24 years.

Question 50Mathematics

A rectangular tank 40 cm long and 25 cm wide contains water to a depth of 12 cm. A solid metal cube of edge 10 cm is fully submerged. What is the new water depth?

  1. 12.5 cm
  2. 13 cm Correct answer.
  3. 14 cm
  4. 13.5 cm

Explanation

The cube's volume is 10 × 10 × 10 = 1 000 cm³, and the tank's base area is 40 × 25 = 1 000 cm². The rise in depth is 1 000 ÷ 1 000 = 1 cm, so the new depth is 12 + 1 = 13 cm.