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Diagnostic Test in Mathematics 6

Total questions: 50

Worksheet time: 25mins

Name
Class
Date
1.

What is 1/5 + 3/5

a)

4/5

b)

3/5

c)

1/5

d)

2/5

2.

What is the sum of 1/2 and 1/5?

a)

3/10

b)

2/7

c)

7/10

d)

5/10

3.

Subtract 3/4 from 5/6

a)

1

b)

1/12

c)

3/6

d)

1/2

4.

What is 20 3/4 - 18 2/3?

a)

1 1/12

b)

2 1/12

c)

1 1/2

d)

2 1/2

5.

Lola Flora bought 4 3/4 kilo of chicken. She cooked 2 1/4 kilo and refrigerate the rest. How much chicken was refrigerated?

a)

2 1/4

b)

2 1/2

c)

1 1/4

d)

1 1/2

6.

When 8 is multiplied by 2/3, the product is ____

a)

2 1/3

b)

3 3/8

c)

8 2/3

d)

5 1/3

7.

A fruit salad recipe uses 3 3/4 cup of condensed milk. How much milk is needed if you are going to make 2 2/3 times of the recipe?

a)

5

b)

7

c)

8

d)

10

8.

Luna has 6/7 kilos of sugar. She used 3/4 of it for ginataan. How much sugar did she used?

a)

5/14

b)

7/14

c)

9/14

d)

11/14

9.

Find the difference of 0.9289 and 0.7493

a)

0.2216

b)

0.1796

c)

1.6782

d)

0.0796

10.

For his father's birthday, Cielo bought a gift worth 206.50 pesos. How much from her five hundred peso bill was left?

a)

253.50 pesos

b)

286.50 pesos

c)

293.50 pesos

d)

274.50 pesos

11.

Of the 41 kilos of fruits Jairus had sold, 5.75 kilos were mangoes, 21.5 kilos were lanzones and the rest are papaya. How many kilos are papaya?

a)

11.75 kilos

b)

12.75 kilos

c)

13.75 kilos

d)

14.75 kilos

12.

Ivy bought a red dress worth 1 966.99 pesos. If she gave 2 000 pesos to the cashier, how much is her change?

a)

88.01 pesos

b)

53.01 pesos

c)

63.01 pesos

d)

33.01 pesos

13.

The water bill cost P875.50 while the phone bill cost P687.25 more. How much money is needed to pay the bills?

a)

P1 562.75

b)

P1 751.00

c)

P4 876.50

d)

P2 438.25

14.

Find the product of 0.56 and 0.3

a)

0.0168

b)

16.8

c)

1.68

d)

0.168

15.

Multiply 6.23 and 2.18. The product is ____

a)

13.5184

b)

4.05

c)

13.5814

d)

8.41

16.

0.57356 multiplied by 10 equals

a)

5.7356

b)

0.57356

c)

5735.6

d)

57.356

17.

Andrei uses an average of 52.812 liters of gasoline per week. How many liters of gasoline will be used in 6 weeks?

a)

316.728

b)

316.872

c)

316.827

d)

316.278

18.

A certain book in Mathematics is 3.15 cm thick. How tall will 12 books stand if stacked one on top of another?

a)

39.0

b)

40.1

c)

37.8

d)

38.9

19.

There are 24 boys and 16 girls in Grade VI - David. What is the ratio of girls to boys in fraction form?

a)

16/40

b)

16/24

c)

24/40

d)

24/16

20.

A recipe for pancakes uses 3 cups of flour and 2 cups of milk. What is the ratio of milk to flour?

a)

2/5

b)

3/5

c)

3/2

d)

2/3

21.

The ratio of yellow ribbon to red ribbon is 180 cm to 45 cm. How many times longer is yellow ribbon to red ribbon?

a)

4 times

b)

5 times

c)

1/2 times

d)

1/3 times

22.

Mother baked 15 buko pies, 10 egg pies and 30 pizza pies. How many times more is the pizza pies than the egg pies

a)

2 times

b)

3 times

c)

4 times

d)

5 times

23.

Marie can make 12 small mango pies for every 10 mangoes. How many pies can she make with 50 mangoes?

a)

50 pies

b)

60 pies

c)

40 pies

d)

30 pies

24.

Marlo and Charles sell newspapers on weekends to earn extra money. For every 9 newspapers that Marlo sells, Charles sells 15. If Marlo sold 45 newspapers, how many did Charles sell?

a)

30 newspapers

b)

40 newspapers

c)

75 newspapers

d)

90 newspapers

25.

Find the missing number to complete the equivalent ratios: 815=n45\frac{8}{15}=\frac{n}{45}  

a)

32

b)

16

c)

20

d)

24

26.

What number compared to 21 is the same as 35 compared to 7

a)

120

b)

90

c)

75

d)

105

27.

Five buses can transport 130 pupils. How many buses are needed to transport 780 pupils

a)

70

b)

60

c)

40

d)

30

28.

The ratio of male pupils to female pupils in San Jose Elementary School is 7:9. If there are 126 female pupils, how many pupils are male?

a)

100

b)

98

c)

63

d)

105

29.

A car travels 120 miles in 3 hours. How far would it travel in 5 hours?

a)

100 miles

b)

150 miles

c)

200 miles

d)

220 miles

30.

Lei had P150. She spent P48 for spaghetti and P12 for the drinks. What percent of her money was left?

a)

30%

b)

40%

c)

50%

d)

60%

31.

Kate has a 15% mistake in a 60-item test. How many mistakes does Kate have in the test?

a)

9

b)

15

c)

12

d)

20

32.

What percent of 20 is 5?

a)

35%

b)

20%

c)

25%

d)

30%

33.

Mr. Quinay's money is not enough to buy a cellphone at P7,000. Mrs. Quinay gives him 30% of the cost? How much money does he receive from his wife

a)

1 500

b)

2 000

c)

2 100

d)

1 800

34.

A grade six class went on a field trip. Only 60% or 30 pupils joined the activity. What was the class enrolment?

a)

45

b)

40

c)

50

d)

55

35.

Elma bought a blouse with 20% discount. How much did she pay if the tag price of the blouse was P850?

a)

P850

b)

P680

c)

P170

d)

P350

36.

Elvie bought a dress for P550 at 20% discount. What was the original price?

a)

P650

b)

P780.50

c)

750

d)

687.50

37.

A salesman sells a car for P960,000. If he receives a commission of 15%, how much will be his commission?

a)

P144 000

b)

P150 000

c)

P140 000

d)

P154 000

38.

The following statements about exponential notation are correct except

a)

In 63,6^3,  6 is the base and 3 is the exponent

b)

In 54,5^4,  5 is multiplied to itself four times

c)

424^2  is the same as 4 x 4

d)

323^2  means 3 x 2

39.

In an exponential notation, what is the base?

a)

It is the number that is being multiplied repeatedly to itself

b)

It tells the number of times the exponent is added

c)

It tells the number of times the exponent is multiplied

d)

It is the number that is being added repeatedly to itself

40.

Find the value of N to make 63 = N6^3\ =\ N  to make it true

a)

36

b)

261

c)

18

d)

216

41.

____ is 3 to the 5th power

a)

249

b)

15

c)

343

d)

243

42.

Evaluate the expression (24  9)+(127)×32\left(24\ -\ 9\right)+\left(12-7\right)\times3^2  using GEMDAS rule

a)

60

b)

180

c)

150

d)

120

43.

Simplify: 12 + 25 ÷5 ×3 + 30012\ +\ 25\ \div5\ \times3\ +\ 300  

a)

320

b)

327

c)

351

d)

315

44.

Solve: 18 + 12  4 ÷2×818\ +\ 12\ -\ 4\ \div2\times8  

a)

15

b)

17

c)

16

d)

14

45.

Solve 3 + 23+5(74)3\ +\ 2^3+5\left(7-4\right)  using GEMDAS rule

a)

28

b)

32

c)

30

d)

26

46.

Solve using GEMDAS rule: (14×22+33)25÷4\left(1^4\times2^2+3^3\right)-2^5\div4  

a)

19

b)

23

c)

24

d)

21

47.

Which of the following set of integers are arrange from greatest to least?

a)

40,7, 2, 0, 9, 25, 9840,-7,\ -2,\ 0,\ 9,\ 25,\ 98  

b)

98, 25, 9, 0, 2, 7, 4098,\ 25,\ 9,\ 0,\ -2,\ -7,\ -40  

c)

7, 25, 40, 9, 0, 98, 2-7,\ 25,\ -40,\ 9,\ 0,\ 98,\ -2  

d)

0,7,2,40,25,98,90,-7,-2,-40,25,98,9  

48.

What integer is 12 units to the left of -26?

a)

-14

b)

14

c)

38

d)

-38

49.

In math contest, every correct answer is worth 3 points and every wrong answer is worth -2 points. If Ernest answer 20 questions correctly and 5 wrong answers, what was the total points?

a)

60

b)

50

c)

40

d)

30

50.

Mrs. Concepcion made P 47 500 in the stock market while Mrs. Cruz lost P 23 800. What was the difference in their performance?

a)

-23 700

b)

23 700

c)

22 700

d)

71 300