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.

303

Created by PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

Register in PLSBoost Premium Bundle to get 20,000+ Solved MCQs

▶️ ENROLL NOW

Provide the Following to Get Started!

1 / 20

2 / 20

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

3 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

4 / 20

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

3/7

1/7

2/7

5 / 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

6 / 20

7 / 20

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

2π

π /2

Non of these

8 / 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

9 / 20

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

-1

None of these

10 / 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

11 / 20

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

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

12 / 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?

13 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

14 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

15 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

16 / 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)

17 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

18 / 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

19 / 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})

20 / 20

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	Danyal	100 %	1 minutes 16 seconds
6	osaid	100 %	2 minutes 41 seconds
7	ibraheem	95 %	50 seconds
8	Dawood	95 %	52 seconds
9	NONE	95 %	52 seconds
10	abdullah umar	95 %	56 seconds
11	Saad	95 %	1 minutes 1 seconds
12	abdullah umar	95 %	1 minutes 12 seconds
13	Jawad	95 %	1 minutes 26 seconds
14	NONE\	90 %	51 seconds
15	NONE	90 %	56 seconds
16	Muhammad Awais	90 %	1 minutes 6 seconds
17	12345	90 %	1 minutes 11 seconds
18	Bilal	90 %	1 minutes 30 seconds
19	ibraheem	90 %	1 minutes 34 seconds
20	Taha	90 %	1 minutes 56 seconds
21	urwah	90 %	2 minutes 14 seconds
22	sddc	90 %	2 minutes 32 seconds
23	Ahmed Nafees	90 %	4 minutes 20 seconds
24	Maham	90 %	5 minutes 16 seconds
25	Wardan Ahmed	85 %	40 seconds
26	Dawood	85 %	1 minutes 10 seconds
27	Arib	85 %	1 minutes 20 seconds
28	Hello 2	85 %	1 minutes 23 seconds
29	sadi	85 %	1 minutes 47 seconds
30	nelson	85 %	1 minutes 56 seconds
31	DKrfkf	85 %	2 minutes 17 seconds
32	Mudasir bangash	85 %	2 minutes 20 seconds
33	Saeed	85 %	2 minutes 46 seconds
34	Wardan Ahmed	80 %	40 seconds
35	dawood	80 %	1 minutes
36	RIDWAN	80 %	1 minutes 13 seconds
37	N	80 %	1 minutes 39 seconds
38	Talha	80 %	1 minutes 49 seconds
39	Najeeb Ahmed	80 %	1 minutes 52 seconds
40	Shifa Arif	80 %	1 minutes 57 seconds
41	Wardan Ahmed	75 %	38 seconds
42	Wardan Ahmed	75 %	40 seconds
43	Wardan Ahmed	75 %	40 seconds
44	Wardan Ahmed	75 %	41 seconds
45	Saif	75 %	57 seconds
46	urwah	75 %	1 minutes 31 seconds
47	Hi	75 %	1 minutes 37 seconds
48	Ahmad	75 %	1 minutes 38 seconds
49	NOONE	75 %	1 minutes 40 seconds
50	rida	75 %	1 minutes 47 seconds
51	Nimra	75 %	1 minutes 54 seconds
52	Ahmad faiz khan	75 %	2 minutes 21 seconds
53	Muhammmad yahya	75 %	2 minutes 26 seconds
54	ma	75 %	2 minutes 47 seconds
55	JawD	75 %	2 minutes 54 seconds
56	Muhammad Awais	75 %	3 minutes 5 seconds
57	Yasir	75 %	6 minutes 16 seconds
58	raomohib	75 %	31 minutes 2 seconds
59	uzair	75 %	34 minutes 30 seconds
60	Hhhh	70 %	1 minutes 8 seconds
61	Hhh	70 %	1 minutes 37 seconds
62	amna	70 %	1 minutes 41 seconds
63	Haseeb	70 %	1 minutes 50 seconds
64	Abdullah umar	70 %	1 minutes 58 seconds
65	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
66	anand	70 %	3 minutes 5 seconds
67	mm alam	70 %	3 minutes 11 seconds
68	fjwkjsj	70 %	10 minutes 28 seconds
69	Muhammad Maaz khan	70 %	17 minutes 40 seconds
70	Danyal	70 %	18 minutes 19 seconds
71	Wardan Ahmed	65 %	39 seconds
72	Jibrail	65 %	1 minutes 17 seconds
73	Noor	65 %	1 minutes 30 seconds
74	david	65 %	1 minutes 30 seconds
75	Muaz Rana	65 %	1 minutes 53 seconds
76	Adil	65 %	2 minutes 13 seconds
77	Hello	65 %	2 minutes 23 seconds
78	Tanoli Bilal	65 %	2 minutes 28 seconds
79	Abid ur Rahman	65 %	5 minutes 29 seconds
80	Ubaidullah	65 %	7 minutes 13 seconds
81	Wardan Ahmed	60 %	37 seconds
82	Azan	60 %	1 minutes 35 seconds
83	R	60 %	1 minutes 42 seconds
84	Haseeb	60 %	2 minutes 13 seconds
85	Sadia	60 %	2 minutes 21 seconds
86	Miqdam Haider	60 %	2 minutes 31 seconds
87	Azwa mudassar	60 %	4 minutes 59 seconds
88	Zainab	60 %	12 minutes 58 seconds
89	Ibraheem	60 %	13 minutes 11 seconds
90	ggg	60 %	18 minutes 13 seconds
91	fatima	60 %	20 minutes 21 seconds
92	Asfg	60 %	22 minutes 59 seconds
93	op bolty	60 %	36 minutes 57 seconds
94	Nimra	60 %	50 minutes 28 seconds
95	Ayla Saeed	60 %	55 minutes 29 seconds
96	satii	60 %	3 hours 32 minutes 6 seconds
97	Wardan Ahmed	55 %	38 seconds
98	Wardan Ahmed	55 %	39 seconds
99	Ahmad Hassan	55 %	3 minutes 35 seconds
100	Ubaid	55 %	5 minutes 16 seconds
101	Mudasir Jamal	55 %	7 minutes 29 seconds
102	Soem	55 %	8 minutes 46 seconds
103	Muhammad Hamid	55 %	11 minutes 17 seconds
104	Taha	55 %	13 minutes 20 seconds
105	Mee	55 %	17 minutes 49 seconds
106	nemo	55 %	20 minutes 10 seconds
107	None	55 %	25 minutes 16 seconds
108	Maham	55 %	26 minutes 14 seconds
109	Uzair	55 %	28 minutes 36 seconds
110	Kisa	55 %	29 minutes 44 seconds
111	Abdullah	55 %	41 minutes 29 seconds
112	nelson	55 %	3 hours 35 minutes 50 seconds
113	Noor	50 %	1 minutes 41 seconds
114	Hafsa	50 %	2 minutes 49 seconds
115	Fghhh	50 %	2 minutes 54 seconds
116	Zubaida	50 %	4 minutes 52 seconds
117	Ehsan shah	50 %	5 minutes 6 seconds
118	Safi	50 %	5 minutes 51 seconds
119	sms	50 %	6 minutes 4 seconds
120	As	50 %	6 minutes 17 seconds
121	Sheraz	50 %	6 minutes 24 seconds
122	Iraj	50 %	7 minutes
123	rida	50 %	8 minutes 21 seconds
124	M Miqdam Haider	50 %	8 minutes 36 seconds
125	Mari	50 %	9 minutes 47 seconds
126	sadia	50 %	9 minutes 59 seconds
127	Najeeb Ahmed	50 %	10 minutes 36 seconds
128	Talha Bhatti	50 %	13 minutes 50 seconds
129	osaid	50 %	52 minutes 56 seconds
130	Dawood	45 %	27 seconds
131	Wardan Ahmed	45 %	37 seconds
132	GHULAM	45 %	1 minutes 58 seconds
133	Usama	45 %	2 minutes 5 seconds
134	iufudfud	45 %	2 minutes 9 seconds
135	Hhhh	45 %	2 minutes 35 seconds
136	Saif khan	45 %	2 minutes 56 seconds
137	Dileep	45 %	3 minutes 28 seconds
138	amna	45 %	3 minutes 47 seconds
139	..	45 %	4 minutes 20 seconds
140	peaky blinder	45 %	5 minutes 8 seconds
141	Siwiw	45 %	5 minutes 11 seconds
142	Muaz Rana	45 %	6 minutes 14 seconds
143	Muhammmad yahya	45 %	6 minutes 22 seconds
144	Ahmad	45 %	7 minutes 34 seconds
145	Muhammad Ali	45 %	7 minutes 52 seconds
146	Jawad	45 %	8 minutes 33 seconds
147	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
148	hi	45 %	9 minutes 5 seconds
149	rr	45 %	12 minutes 44 seconds
150	Haroon	45 %	14 minutes 19 seconds
151	Raj rathi	45 %	17 minutes 17 seconds
152	anand	45 %	17 minutes 35 seconds
153	Hafeezullah	45 %	21 minutes 49 seconds
154	Adnanh	45 %	59 minutes 58 seconds
155	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
156	Wardan Ahmed	40 %	2 minutes 15 seconds
157	Fawad Jillani	40 %	3 minutes 5 seconds
158	Seemab	40 %	3 minutes 48 seconds
159	Haha	40 %	3 minutes 59 seconds
160	Huzaifa ali	40 %	4 minutes 28 seconds
161	Ahmad Ali	40 %	7 minutes 3 seconds
162	MUHAMMAD NOMAN WAJID	40 %	7 minutes 21 seconds
163	Maaz	40 %	7 minutes 52 seconds
164	ma	40 %	8 minutes 32 seconds
165	Kashif Iqbal	40 %	11 minutes 16 seconds
166	anon	40 %	11 minutes 23 seconds
167	Fatima Ajmal	40 %	13 minutes 17 seconds
168	Najeeb Ahmed	40 %	13 minutes 40 seconds
169	jawad ahmed	40 %	13 minutes 50 seconds
170	TOUQEER ABBAS	40 %	14 minutes 22 seconds
171	.	40 %	15 minutes 19 seconds
172	Shifa Arif	40 %	15 minutes 30 seconds
173	rida	40 %	15 minutes 51 seconds
174	fawad	40 %	17 minutes 53 seconds
175	Saeed ullah shah	40 %	19 minutes 42 seconds
176	HIBA	35 %	37 seconds
177	Wardan Ahmed	35 %	44 seconds
178	Wardan Ahmed	35 %	48 seconds
179	Hamna	35 %	1 minutes 8 seconds
180	Qasim	35 %	1 minutes 31 seconds
181	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
182	Sadam Hussain	35 %	2 minutes 14 seconds
183	Amir	35 %	2 minutes 24 seconds
184	Jibrail	35 %	3 minutes 59 seconds
185	Haseeb	35 %	4 minutes 12 seconds
186	madiha	35 %	4 minutes 28 seconds
187	arhum	35 %	4 minutes 28 seconds
188	arya	35 %	6 minutes 1 seconds
189	Muhammad Awais	35 %	6 minutes 2 seconds
190	maaz	35 %	6 minutes 19 seconds
191	Muhammad Ahmad	35 %	6 minutes 34 seconds
192	m	35 %	6 minutes 49 seconds
193	Furqan Ahmed	35 %	6 minutes 55 seconds
194	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
195	Dawood	35 %	7 minutes 24 seconds
196	Nn	35 %	7 minutes 29 seconds
197	Azwa Mudassar	35 %	9 minutes 36 seconds
198	Wajiha	35 %	10 minutes 19 seconds
199	Ahmed Nafees	35 %	12 minutes 24 seconds
200	Fatima	35 %	12 minutes 38 seconds
201	sunila	35 %	13 minutes 13 seconds
202	Ayesha	35 %	13 minutes 53 seconds
203	Moiz	35 %	14 minutes 59 seconds
204	za	35 %	15 minutes 15 seconds
205	sded	35 %	16 minutes 7 seconds
206	Usman Malik	35 %	17 minutes 9 seconds
207	A.	35 %	17 minutes 33 seconds
208	YaSiR	35 %	24 minutes 13 seconds
209	Talha	35 %	25 minutes 12 seconds
210	eman	30 %	1 minutes 15 seconds
211	tashfeen	30 %	1 minutes 37 seconds
212	M Miqdam Haider	30 %	2 minutes 34 seconds
213	Abdullah umar	30 %	2 minutes 37 seconds
214	Muhammad Abu Zar	30 %	2 minutes 44 seconds
215	Rukhsh	30 %	2 minutes 46 seconds
216	Abdullah	30 %	2 minutes 52 seconds
217	Aniya	30 %	3 minutes 8 seconds
218	Ss	30 %	4 minutes 4 seconds
219	GHULAM JILANI	30 %	4 minutes 17 seconds
220	fiza	30 %	4 minutes 43 seconds
221	Rameez	30 %	4 minutes 44 seconds
222	Sohaib Hafeez	30 %	5 minutes 4 seconds
223	ahmar	30 %	5 minutes 34 seconds
224	Ubaid	30 %	5 minutes 54 seconds
225	Haseeb	30 %	6 minutes 4 seconds
226	Asma	30 %	6 minutes 15 seconds
227	Who cares	30 %	6 minutes 46 seconds
228	Arib	30 %	7 minutes 17 seconds
229	muhammad sohaib	30 %	8 minutes 10 seconds
230	Ahmad faiz khan	30 %	8 minutes 11 seconds
231	nemo	30 %	12 minutes 51 seconds
232	Faiq Waleed	30 %	12 minutes 52 seconds
233	Ismail Ismail	30 %	14 minutes 56 seconds
234	y	30 %	16 minutes 32 seconds
235	Muhammad musa	30 %	17 minutes 13 seconds
236	Zeeshanjaat	30 %	18 minutes 43 seconds
237	ume ayesha	30 %	22 minutes 30 seconds
238	Ggfgh	30 %	23 minutes 33 seconds
239	PLSBOOST	25 %	33 seconds
240	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
241	anaya noor	25 %	2 minutes 21 seconds
242	ehsan	25 %	2 minutes 36 seconds
243	H	25 %	2 minutes 38 seconds
244	Dawood	25 %	2 minutes 43 seconds
245	Kashif	25 %	3 minutes 13 seconds
246	my	25 %	4 minutes 15 seconds
247	Iqra	25 %	4 minutes 25 seconds
248	hassan	25 %	4 minutes 30 seconds
249	Muhammad Taha Khalid	25 %	4 minutes 40 seconds
250	Saad Khan	25 %	5 minutes 13 seconds
251	Bial	25 %	5 minutes 24 seconds
252	urwah	25 %	5 minutes 31 seconds
253	Abdullah	25 %	5 minutes 38 seconds
254	Muhammad Moeen	25 %	6 minutes 33 seconds
255	Mari	25 %	6 minutes 54 seconds
256	Muneeb	25 %	7 minutes 9 seconds
257	malika	25 %	7 minutes 25 seconds
258	Sadia	25 %	9 minutes 19 seconds
259	Adil	25 %	10 minutes 5 seconds
260	adnan ashiq	25 %	10 minutes 7 seconds
261	ridwan	25 %	13 minutes 23 seconds
262	T	25 %	18 minutes 27 seconds
263	sadaf	25 %	27 minutes 34 seconds
264	groots	25 %	29 minutes 39 seconds
265	Aydha	20 %	1 minutes 18 seconds
266	maliksubhan	20 %	1 minutes 30 seconds
267	R	20 %	2 minutes 23 seconds
268	Ayesha	20 %	2 minutes 44 seconds
269	Muhammad Ali	20 %	3 minutes
270	Hasnain	20 %	3 minutes 2 seconds
271	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
272	Noor	20 %	4 minutes 3 seconds
273	Zmsox	20 %	4 minutes 53 seconds
274	Bilal	20 %	5 minutes 7 seconds
275	Hamza	20 %	6 minutes 19 seconds
276	kk	20 %	7 minutes 5 seconds
277	Mahad	20 %	8 minutes 5 seconds
278	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
279	Wilayat Ali	20 %	9 minutes 53 seconds
280	Ubaidullah	20 %	10 minutes 58 seconds
281	Daniyal	20 %	26 minutes 24 seconds
282	anaya noor	15 %	1 minutes 19 seconds
283	Annu	15 %	2 minutes 35 seconds
284	Elsa	15 %	2 minutes 57 seconds
285	R	15 %	2 minutes 58 seconds
286	Bilal	15 %	3 minutes 44 seconds
287	Abdullah abbas	15 %	4 minutes 7 seconds
288	Safi ullah	15 %	5 minutes 22 seconds
289	Sateedan	15 %	7 minutes 9 seconds
290	Abid ur Rahman	15 %	8 minutes 34 seconds
291	Fehria Zainab	15 %	13 minutes 11 seconds
292	Talha	10 %	2 minutes 21 seconds
293	Fatima Navaid	5 %	47 seconds
294	MUHAMMAD ABDULLAH	5 %	51 seconds
295	Amina	5 %	2 minutes 2 seconds
296	anaya noor	5 %	3 minutes
297	Name	5 %	8 minutes 3 seconds
298	abdullah umar	0 %	19 seconds
299	ISRAR ALI	0 %	25 seconds
300	azan ali shah	0 %	27 seconds
301	Mahamfaryad	0 %	54 seconds
302	Alisha noor	0 %	1 minutes 9 seconds
303	Umer	0 %	1 minutes 29 seconds

PLS Academy App!

QUICK LINKS

PREP

COURSES

SUPPORT

Mathematics Diagnostic Tests

Report a question

PLS Academy App!

QUICK LINKS

PREP

COURSES

SUPPORT