Mathematics Diagnostic Tests

The Mathematics Diagnostic Tests by PLS Academy are designed to help students evaluate their preparation for entry tests, FSC exams, ECAT, NUST NET, and NTS exams. These tests cover key topics in algebra, calculus, trigonometry, geometry, and statistics, allowing students to identify strengths, weaknesses, and areas that require improvement. Detailed feedback after each test helps aspirants focus on weak concepts, enhance problem-solving skills, and plan targeted revision. Whether preparing for ECAT, NUST NET, NTS, or FSC Mathematics, these diagnostic tests enable students to track progress, strengthen skills, and optimize their preparation strategy to achieve top scores.

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Created by PLSBOOST

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

If h² and higher powers of ‘h’ are neglected then √1+2h/1-h

1-3/2h

1+3/2h

1-2/3h

1+2/3h

2 / 20

47. If the discriminant is negative, then the roots are:

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

3 / 20

If the line segment obtained by joining any two points of a region lies entirely within the region is called:

Concave

Convex

Both A and B

None

4 / 20

360 students study at a school where 248 students study Turkish, 126 study Arabic, and 18 study neither. How many students study both Arabic and Turkish?

5 / 20

if y=a^x then y_n is equal to (where a>0,xxER)

a^x.Ina

a^nx.lna

a^x(lna)^n

a^nx(lna)^n

6 / 20

7 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

8 / 20

9 / 20

For an identity cot⁴+ cot²0 = cosec+0 – cosec⁴0, is:

2π

π /2

Non of these

10 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

11 / 20

The probability that a leap year selected at random will contain 53 sundays, is:

3/7

1/7

2/7

12 / 20

If A(-1,h), B(3,2) and C(7,3) are collinear, then h =?

-1

None of these

13 / 20

What will be the volume of parallelepiped represented by the vectors u = 9i – 5j, v = 6i – 7j + k, w = i – k?

14 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

15 / 20

The conic ax²+2hxy+by+2gx+2fy+c=0 never represent a circle if:

a ≠ b. h ≠ 0

h ≠ 0

a=b

h = 0

16 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

17 / 20

In any triangle ABC, with usual notation, which one of them is not true

∆ = 1/2 ab sinγ

∆ =1/2 bc sinα

∆ =1/2 α sin β γ/sin α

∆2 =s (s a)(s b)(s c)

18 / 20

19 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

20 / 20

If (|r|<1) then, (S_n =)

(frac{a_1 (1 – r^n)}{1-r})

(frac{a_1 (r^n – 1)}{1-r})

(frac{a_1 (r^n – 1)}{r-1})

(frac{a_1 (1 – r^n)}{r-1})

Your score is

Pos.	Name	Score	Duration
1	Anonymous	100 %	48 seconds
2	Muhammad Awais	100 %	51 seconds
3	Saad Khan	100 %	54 seconds
4	Shaista	100 %	55 seconds
5	osaid	100 %	2 minutes 41 seconds
6	ibraheem	95 %	50 seconds
7	NONE	95 %	52 seconds
8	abdullah umar	95 %	56 seconds
9	Saad	95 %	1 minutes 1 seconds
10	abdullah umar	95 %	1 minutes 12 seconds
11	NONE\	90 %	51 seconds
12	NONE	90 %	56 seconds
13	Muhammad Awais	90 %	1 minutes 6 seconds
14	12345	90 %	1 minutes 11 seconds
15	ibraheem	90 %	1 minutes 34 seconds
16	Taha	90 %	1 minutes 56 seconds
17	sddc	90 %	2 minutes 32 seconds
18	Ahmed Nafees	90 %	4 minutes 20 seconds
19	Maham	90 %	5 minutes 16 seconds
20	Arib	85 %	1 minutes 20 seconds
21	Hello 2	85 %	1 minutes 23 seconds
22	sadi	85 %	1 minutes 47 seconds
23	nelson	85 %	1 minutes 56 seconds
24	Mudasir bangash	85 %	2 minutes 20 seconds
25	Saeed	85 %	2 minutes 46 seconds
26	N	80 %	1 minutes 39 seconds
27	Talha	80 %	1 minutes 49 seconds
28	Najeeb Ahmed	80 %	1 minutes 52 seconds
29	Saif	75 %	57 seconds
30	Hi	75 %	1 minutes 37 seconds
31	Ahmad	75 %	1 minutes 38 seconds
32	NOONE	75 %	1 minutes 40 seconds
33	rida	75 %	1 minutes 47 seconds
34	Nimra	75 %	1 minutes 54 seconds
35	Ahmad faiz khan	75 %	2 minutes 21 seconds
36	Muhammmad yahya	75 %	2 minutes 26 seconds
37	ma	75 %	2 minutes 47 seconds
38	Muhammad Awais	75 %	3 minutes 5 seconds
39	Yasir	75 %	6 minutes 16 seconds
40	raomohib	75 %	31 minutes 2 seconds
41	uzair	75 %	34 minutes 30 seconds
42	amna	70 %	1 minutes 41 seconds
43	Abdullah umar	70 %	1 minutes 58 seconds
44	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
45	mm alam	70 %	3 minutes 11 seconds
46	fjwkjsj	70 %	10 minutes 28 seconds
47	Muhammad Maaz khan	70 %	17 minutes 40 seconds
48	Jibrail	65 %	1 minutes 17 seconds
49	Noor	65 %	1 minutes 30 seconds
50	Muaz Rana	65 %	1 minutes 53 seconds
51	Adil	65 %	2 minutes 13 seconds
52	Hello	65 %	2 minutes 23 seconds
53	Abid ur Rahman	65 %	5 minutes 29 seconds
54	Azan	60 %	1 minutes 35 seconds
55	R	60 %	1 minutes 42 seconds
56	Sadia	60 %	2 minutes 21 seconds
57	Azwa mudassar	60 %	4 minutes 59 seconds
58	Ibraheem	60 %	13 minutes 11 seconds
59	ggg	60 %	18 minutes 13 seconds
60	fatima	60 %	20 minutes 21 seconds
61	Asfg	60 %	22 minutes 59 seconds
62	op bolty	60 %	36 minutes 57 seconds
63	Nimra	60 %	50 minutes 28 seconds
64	Ayla Saeed	60 %	55 minutes 29 seconds
65	Ahmad Hassan	55 %	3 minutes 35 seconds
66	Ubaid	55 %	5 minutes 16 seconds
67	Mudasir Jamal	55 %	7 minutes 29 seconds
68	Soem	55 %	8 minutes 46 seconds
69	Muhammad Hamid	55 %	11 minutes 17 seconds
70	Taha	55 %	13 minutes 20 seconds
71	Mee	55 %	17 minutes 49 seconds
72	nemo	55 %	20 minutes 10 seconds
73	None	55 %	25 minutes 16 seconds
74	Maham	55 %	26 minutes 14 seconds
75	Uzair	55 %	28 minutes 36 seconds
76	nelson	55 %	3 hours 35 minutes 50 seconds
77	Noor	50 %	1 minutes 41 seconds
78	Hafsa	50 %	2 minutes 49 seconds
79	Zubaida	50 %	4 minutes 52 seconds
80	Ehsan shah	50 %	5 minutes 6 seconds
81	As	50 %	6 minutes 17 seconds
82	Sheraz	50 %	6 minutes 24 seconds
83	Iraj	50 %	7 minutes
84	Mari	50 %	9 minutes 47 seconds
85	sadia	50 %	9 minutes 59 seconds
86	Najeeb Ahmed	50 %	10 minutes 36 seconds
87	Talha Bhatti	50 %	13 minutes 50 seconds
88	osaid	50 %	52 minutes 56 seconds
89	GHULAM	45 %	1 minutes 58 seconds
90	Usama	45 %	2 minutes 5 seconds
91	iufudfud	45 %	2 minutes 9 seconds
92	Saif khan	45 %	2 minutes 56 seconds
93	Dileep	45 %	3 minutes 28 seconds
94	amna	45 %	3 minutes 47 seconds
95	Muaz Rana	45 %	6 minutes 14 seconds
96	Muhammmad yahya	45 %	6 minutes 22 seconds
97	Ahmad	45 %	7 minutes 34 seconds
98	Muhammad Ali	45 %	7 minutes 52 seconds
99	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
100	hi	45 %	9 minutes 5 seconds
101	Haroon	45 %	14 minutes 19 seconds
102	Raj rathi	45 %	17 minutes 17 seconds
103	Hafeezullah	45 %	21 minutes 49 seconds
104	Adnanh	45 %	59 minutes 58 seconds
105	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
106	Fawad Jillani	40 %	3 minutes 5 seconds
107	Huzaifa ali	40 %	4 minutes 28 seconds
108	Ahmad Ali	40 %	7 minutes 3 seconds
109	Maaz	40 %	7 minutes 52 seconds
110	ma	40 %	8 minutes 32 seconds
111	Kashif Iqbal	40 %	11 minutes 16 seconds
112	Fatima Ajmal	40 %	13 minutes 17 seconds
113	Najeeb Ahmed	40 %	13 minutes 40 seconds
114	jawad ahmed	40 %	13 minutes 50 seconds
115	TOUQEER ABBAS	40 %	14 minutes 22 seconds
116	.	40 %	15 minutes 19 seconds
117	rida	40 %	15 minutes 51 seconds
118	fawad	40 %	17 minutes 53 seconds
119	Saeed ullah shah	40 %	19 minutes 42 seconds
120	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
121	Sadam Hussain	35 %	2 minutes 14 seconds
122	Amir	35 %	2 minutes 24 seconds
123	Jibrail	35 %	3 minutes 59 seconds
124	Haseeb	35 %	4 minutes 12 seconds
125	arhum	35 %	4 minutes 28 seconds
126	Muhammad Awais	35 %	6 minutes 2 seconds
127	m	35 %	6 minutes 49 seconds
128	Furqan Ahmed	35 %	6 minutes 55 seconds
129	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
130	Nn	35 %	7 minutes 29 seconds
131	Azwa Mudassar	35 %	9 minutes 36 seconds
132	Wajiha	35 %	10 minutes 19 seconds
133	Ahmed Nafees	35 %	12 minutes 24 seconds
134	sunila	35 %	13 minutes 13 seconds
135	Ayesha	35 %	13 minutes 53 seconds
136	Moiz	35 %	14 minutes 59 seconds
137	za	35 %	15 minutes 15 seconds
138	sded	35 %	16 minutes 7 seconds
139	Usman Malik	35 %	17 minutes 9 seconds
140	A.	35 %	17 minutes 33 seconds
141	YaSiR	35 %	24 minutes 13 seconds
142	Talha	35 %	25 minutes 12 seconds
143	eman	30 %	1 minutes 15 seconds
144	tashfeen	30 %	1 minutes 37 seconds
145	Abdullah umar	30 %	2 minutes 37 seconds
146	Muhammad Abu Zar	30 %	2 minutes 44 seconds
147	Abdullah	30 %	2 minutes 52 seconds
148	Aniya	30 %	3 minutes 8 seconds
149	Ss	30 %	4 minutes 4 seconds
150	GHULAM JILANI	30 %	4 minutes 17 seconds
151	Rameez	30 %	4 minutes 44 seconds
152	Sohaib Hafeez	30 %	5 minutes 4 seconds
153	ahmar	30 %	5 minutes 34 seconds
154	Ubaid	30 %	5 minutes 54 seconds
155	Asma	30 %	6 minutes 15 seconds
156	Who cares	30 %	6 minutes 46 seconds
157	Arib	30 %	7 minutes 17 seconds
158	muhammad sohaib	30 %	8 minutes 10 seconds
159	Ahmad faiz khan	30 %	8 minutes 11 seconds
160	nemo	30 %	12 minutes 51 seconds
161	Faiq Waleed	30 %	12 minutes 52 seconds
162	y	30 %	16 minutes 32 seconds
163	Zeeshanjaat	30 %	18 minutes 43 seconds
164	ume ayesha	30 %	22 minutes 30 seconds
165	Ggfgh	30 %	23 minutes 33 seconds
166	PLSBOOST	25 %	33 seconds
167	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
168	H	25 %	2 minutes 38 seconds
169	Dawood	25 %	2 minutes 43 seconds
170	Kashif	25 %	3 minutes 13 seconds
171	my	25 %	4 minutes 15 seconds
172	Iqra	25 %	4 minutes 25 seconds
173	hassan	25 %	4 minutes 30 seconds
174	Saad Khan	25 %	5 minutes 13 seconds
175	Abdullah	25 %	5 minutes 38 seconds
176	Muhammad Moeen	25 %	6 minutes 33 seconds
177	Mari	25 %	6 minutes 54 seconds
178	malika	25 %	7 minutes 25 seconds
179	Sadia	25 %	9 minutes 19 seconds
180	Adil	25 %	10 minutes 5 seconds
181	adnan ashiq	25 %	10 minutes 7 seconds
182	T	25 %	18 minutes 27 seconds
183	sadaf	25 %	27 minutes 34 seconds
184	groots	25 %	29 minutes 39 seconds
185	maliksubhan	20 %	1 minutes 30 seconds
186	R	20 %	2 minutes 23 seconds
187	Ayesha	20 %	2 minutes 44 seconds
188	Muhammad Ali	20 %	3 minutes
189	Hasnain	20 %	3 minutes 2 seconds
190	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
191	Noor	20 %	4 minutes 3 seconds
192	Hamza	20 %	6 minutes 19 seconds
193	kk	20 %	7 minutes 5 seconds
194	Mahad	20 %	8 minutes 5 seconds
195	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
196	Wilayat Ali	20 %	9 minutes 53 seconds
197	Daniyal	20 %	26 minutes 24 seconds
198	Annu	15 %	2 minutes 35 seconds
199	Elsa	15 %	2 minutes 57 seconds
200	R	15 %	2 minutes 58 seconds
201	Bilal	15 %	3 minutes 44 seconds
202	Abdullah abbas	15 %	4 minutes 7 seconds
203	Abid ur Rahman	15 %	8 minutes 34 seconds
204	Talha	10 %	2 minutes 21 seconds
205	Fatima Navaid	5 %	47 seconds
206	MUHAMMAD ABDULLAH	5 %	51 seconds
207	Amina	5 %	2 minutes 2 seconds
208	Name	5 %	8 minutes 3 seconds
209	abdullah umar	0 %	19 seconds
210	ISRAR ALI	0 %	25 seconds
211	Mahamfaryad	0 %	54 seconds
212	Alisha noor	0 %	1 minutes 9 seconds
213	Umer	0 %	1 minutes 29 seconds

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Mathematics Diagnostic Tests

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