On this page you will find various mathematics materials for the 5th grade. You can practice on trainers for any of the topics presented.

CATBRIDGE — MATH STUDYING MATERIALS

SPEED №1

  • John runs from point A to point B. The distance is 12 km. What speed does John need to arrive in 2 hours?

 

SPEED №2

  • Vova and John left from point A to point B. Vova’s speed was 190 km/h, and he left 140 minutes later than John. John’s speed was 100 km/h. After how long will John catch up with Vova?

 

How Faster or Slower

  • Bill went from Da Nang to Hue (100 km) by motorbike at 100 km/h . How much slower would he arrive at 50 km/h?

 

How MUCH / MANY left

  • Kate had 90 candies. On the first day she ate 15, on the second day twice as many, and on the third day 5 less than on the first day. She gave the rest to her sister. How many candies did Kate give to her sister?

 

UNIT PRICE

  • John had $20.00. He bought a box of chocolates for $3.99, 4 chocolate bars at the same price, and received $13.01 in change. How much does one chocolate bar cost?

 

PACKS & LEFTOVERS

  • Vova eats 4 tomatoes a day. He buys tomatoes in packs of 6. How many packs does he need to buy for a week? How many tomatoes will be left?

 

MONEY EQUIVALENTS

  • Kate bought 6 kg of chocolate candies at 70 cents/kg. How many kilograms of lollipops at 60 cents/kg can she buy for the same money?

 

WHICH IS THE BETTER DEAL

  • A bar of chocolate costs 120 cents for 85 g; the other costs 100 cents for 50 g. By how much is one bar cheaper per 100 g?

 

MONEY NEEDED

  • John decided to travel from Da Nang to Nha Trang . Nha Trang — a resort city with beaches, islands, and diving; one of the most popular seaside destinations (about 500,000 people). It is located approximately 520 km away. The price of gasoline is 20,000 VND per liter. If the car consumes 8 liters per 100 km: How many liters of gasoline are needed to reach Nha Trang? How much will it cost? How long will the trip take if the average speed is 80 km/h?

 

FRACTIONS ADDITION (with the same denominator)

  • 1/3 + 2/3, 4/7 + 2/7, 5/8 + 1/8, 7/9 + 2/9, 3/5 + 1/5, 9/10 + 1/10, 6/11 + 4/11, 8/12 + 3/12

 

FRACTIONS ADDITION №1 (with different denominators)

  • 2/3 + 3/4, 4/7 + 2/6, 5/8 + 1/3, 7/8 + 2/9, 3/4 + 1/5, 7/10 + 1/8, 6/10 + 4/11, 2/7 + 3/11

 

FRACTIONS ADDITION №2 (with different denominators)

  • 3/4 + 2/5, 11/14 + 4/7, 1/3 + 1/4, 4/5 + 7/8, 2/7 + 1/3, 4/7 + 1/14, 5/12 + 7/18, 1/8 + 3/4

 

FRACTIONS №1 ALL OPERATIONS

  • 9/10 x 3/5, 7/8 + 2/3, 11/12 - 1/6, 4/5 : 3/7, 5/9 - 2/5, 3/4 x 7/10, 2/7 : 5/14, 1/2 + 3/8

 

MIXED FRACTIONS №1 ALL OPERATIONS

  • 3 2/5 + 2 5/7, 5 1/6 - 2 2/3, 2 2/3 x 1 1/2, 4 1/2 : 1 2/3, 1 1/2 + 2 3/4, 3 3/5 x 2 1/4

 

DECIMAL FRACTIONS №1 (substraction)

  • 3 − 2.7, 5 − 1.8, 7.5 − 4.2, 9 − 6.4, 12.3 − 7.8, 10 − 9.99, 8.6 − 3.25, 15 − 7.5

 

DECIMAL FRACTIONS №2 (substraction)

  • 3.84 - 1.23, 6.102 - 5.987, 4.5 - 2.78, 7.31 - 3.12, 5.203 - 4.889, 2.07 - 1.89, 9.400 - 8.955, 1.2 - 0.89

 

EQUATIONS №1

  • 25 – X:5 + 7 = 27, X·5 – 8 + 22 = 120 – 6, 40 + X·3 – 17 = 100 – 5, 90 – X:6 + 4 = 70 + 2 etc.

 

EQUATIONS №2

  • 94 – A:8 + 12 = 105, B·6 + 11 = 119, 45 + C:6 − 15 = 66, 57 + 12 = D·10 + 9 etc.

 

ADDITIONS №1

  • 8997 + 2006, 7698 + 3457, 9865 + 4577, 8749 + 3258, 6958 + 4049, 9587 + 7436, 8888 + 2227, 9991 + 1009 etc.

 

SUBTRACTION №1

  • 4997 - 2006, 7698 - 3457, 9865 - 4577, 8749 - 3258, 6958 - 4049, 9587 - 7436, 8888 - 2227, 9991 - 1009 etc.

 

Multiplication of Three-Digit Numbers by One-Digit Numbers

 

Multiplication of Three-Digit Numbers by TWO-Digit Numbers

 

Multiplication of Three-Digit Numbers by THREE-Digit Numbers

 

Division of Three-Digit Numbers by One-Digit Numbers

 

Division of Three-Digit Numbers by TWO-Digit Numbers

 

SPEED TESTS

  • Calculate: 86 - 29 = ?, 97 + 49 = ?, 23 x 4 = ?, 94 : 2 = ?

 

 

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