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 PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

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

2π

π /2

Non of these

2 / 20

3 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

4 / 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

5 / 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

6 / 20

7 / 20

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

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

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

3/7

1/7

2/7

10 / 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)

11 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

12 / 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})

13 / 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?

14 / 20

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

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

15 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

16 / 20

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

-1

None of these

17 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

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

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

20 / 20

Your score is

Pos.	Name	Score	Duration
1	AHMAD ALI	100 %	46 seconds
2	Anonymous	100 %	48 seconds
3	Muhammad Awais	100 %	51 seconds
4	Saad Khan	100 %	54 seconds
5	Shaista	100 %	55 seconds
6	Danyal	100 %	1 minutes 16 seconds
7	osaid	100 %	2 minutes 41 seconds
8	ibraheem	95 %	50 seconds
9	Dawood	95 %	52 seconds
10	NONE	95 %	52 seconds
11	1	95 %	56 seconds
12	abdullah umar	95 %	56 seconds
13	Saad	95 %	1 minutes 1 seconds
14	Yahya Asad	95 %	1 minutes 12 seconds
15	abdullah umar	95 %	1 minutes 12 seconds
16	Jawad	95 %	1 minutes 26 seconds
17	NONE\	90 %	51 seconds
18	NONE	90 %	56 seconds
19	Muhammad Awais	90 %	1 minutes 6 seconds
20	12345	90 %	1 minutes 11 seconds
21	sms	90 %	1 minutes 16 seconds
22	Saad saeed	90 %	1 minutes 22 seconds
23	Bilal	90 %	1 minutes 30 seconds
24	ibraheem	90 %	1 minutes 34 seconds
25	Taha	90 %	1 minutes 56 seconds
26	Naz	90 %	2 minutes 1 seconds
27	urwah	90 %	2 minutes 14 seconds
28	sddc	90 %	2 minutes 32 seconds
29	Ahmed Nafees	90 %	4 minutes 20 seconds
30	Maham	90 %	5 minutes 16 seconds
31	Wardan Ahmed	85 %	40 seconds
32	Dawood	85 %	1 minutes 10 seconds
33	Arib	85 %	1 minutes 20 seconds
34	Hello 2	85 %	1 minutes 23 seconds
35	sadi	85 %	1 minutes 47 seconds
36	nelson	85 %	1 minutes 56 seconds
37	DKrfkf	85 %	2 minutes 17 seconds
38	Mudasir bangash	85 %	2 minutes 20 seconds
39	Saeed	85 %	2 minutes 46 seconds
40	Rehan lodhi	85 %	3 minutes 6 seconds
41	Wardan Ahmed	80 %	40 seconds
42	dawood	80 %	1 minutes
43	Gggg	80 %	1 minutes 4 seconds
44	RIDWAN	80 %	1 minutes 13 seconds
45	N	80 %	1 minutes 39 seconds
46	Talha	80 %	1 minutes 49 seconds
47	Najeeb Ahmed	80 %	1 minutes 52 seconds
48	Shifa Arif	80 %	1 minutes 57 seconds
49	Wardan Ahmed	75 %	38 seconds
50	Wardan Ahmed	75 %	40 seconds
51	Wardan Ahmed	75 %	40 seconds
52	Wardan Ahmed	75 %	41 seconds
53	Saif	75 %	57 seconds
54	urwah	75 %	1 minutes 31 seconds
55	Hi	75 %	1 minutes 37 seconds
56	Ahmad	75 %	1 minutes 38 seconds
57	NOONE	75 %	1 minutes 40 seconds
58	rida	75 %	1 minutes 47 seconds
59	Nimra	75 %	1 minutes 54 seconds
60	Zakirullah	75 %	1 minutes 55 seconds
61	Ahmad faiz khan	75 %	2 minutes 21 seconds
62	Muhammmad yahya	75 %	2 minutes 26 seconds
63	ma	75 %	2 minutes 47 seconds
64	JawD	75 %	2 minutes 54 seconds
65	Muhammad Awais	75 %	3 minutes 5 seconds
66	Harram	75 %	5 minutes 39 seconds
67	Yasir	75 %	6 minutes 16 seconds
68	raomohib	75 %	31 minutes 2 seconds
69	uzair	75 %	34 minutes 30 seconds
70	Hhhh	70 %	1 minutes 8 seconds
71	Hhh	70 %	1 minutes 37 seconds
72	amna	70 %	1 minutes 41 seconds
73	Haseeb	70 %	1 minutes 50 seconds
74	Abdullah umar	70 %	1 minutes 58 seconds
75	Muhammad Essa Mahar	70 %	2 minutes 18 seconds
76	anand	70 %	3 minutes 5 seconds
77	mm alam	70 %	3 minutes 11 seconds
78	Zakirullah	70 %	3 minutes 35 seconds
79	.	70 %	4 minutes 28 seconds
80	fjwkjsj	70 %	10 minutes 28 seconds
81	Muhammad Maaz khan	70 %	17 minutes 40 seconds
82	Danyal	70 %	18 minutes 19 seconds
83	Wardan Ahmed	65 %	39 seconds
84	Ali	65 %	55 seconds
85	Jibrail	65 %	1 minutes 17 seconds
86	Noor	65 %	1 minutes 30 seconds
87	david	65 %	1 minutes 30 seconds
88	Muaz Rana	65 %	1 minutes 53 seconds
89	Adil	65 %	2 minutes 13 seconds
90	Hello	65 %	2 minutes 23 seconds
91	Tanoli Bilal	65 %	2 minutes 28 seconds
92	Abid ur Rahman	65 %	5 minutes 29 seconds
93	Ubaidullah	65 %	7 minutes 13 seconds
94	MUHAMMAD ABDULLAH	65 %	28 minutes 55 seconds
95	Wardan Ahmed	60 %	37 seconds
96	Azan	60 %	1 minutes 35 seconds
97	R	60 %	1 minutes 42 seconds
98	Haseeb	60 %	2 minutes 13 seconds
99	Sadia	60 %	2 minutes 21 seconds
100	Miqdam Haider	60 %	2 minutes 31 seconds
101	Azwa mudassar	60 %	4 minutes 59 seconds
102	Zainab	60 %	12 minutes 58 seconds
103	Ibraheem	60 %	13 minutes 11 seconds
104	ggg	60 %	18 minutes 13 seconds
105	fatima	60 %	20 minutes 21 seconds
106	Asfg	60 %	22 minutes 59 seconds
107	op bolty	60 %	36 minutes 57 seconds
108	Nimra	60 %	50 minutes 28 seconds
109	Ayla Saeed	60 %	55 minutes 29 seconds
110	satii	60 %	3 hours 32 minutes 6 seconds
111	Wardan Ahmed	55 %	38 seconds
112	Wardan Ahmed	55 %	39 seconds
113	Zakirullah 03467778406	55 %	3 minutes 21 seconds
114	Ahmad Hassan	55 %	3 minutes 35 seconds
115	Ubaid	55 %	5 minutes 16 seconds
116	Mudasir Jamal	55 %	7 minutes 29 seconds
117	Meerab Jawwad	55 %	8 minutes 9 seconds
118	Soem	55 %	8 minutes 46 seconds
119	Muhammad Hamid	55 %	11 minutes 17 seconds
120	Taha	55 %	13 minutes 20 seconds
121	Mee	55 %	17 minutes 49 seconds
122	MANAHIL03171461578	55 %	19 minutes 40 seconds
123	nemo	55 %	20 minutes 10 seconds
124	None	55 %	25 minutes 16 seconds
125	Maham	55 %	26 minutes 14 seconds
126	Uzair	55 %	28 minutes 36 seconds
127	Kisa	55 %	29 minutes 44 seconds
128	Abdullah	55 %	41 minutes 29 seconds
129	nelson	55 %	3 hours 35 minutes 50 seconds
130	Ali	50 %	1 minutes 13 seconds
131	Noor	50 %	1 minutes 41 seconds
132	Hafsa	50 %	2 minutes 49 seconds
133	Fghhh	50 %	2 minutes 54 seconds
134	Anjan	50 %	3 minutes 49 seconds
135	Zubaida	50 %	4 minutes 52 seconds
136	Ehsan shah	50 %	5 minutes 6 seconds
137	Safi	50 %	5 minutes 51 seconds
138	sms	50 %	6 minutes 4 seconds
139	As	50 %	6 minutes 17 seconds
140	Sheraz	50 %	6 minutes 24 seconds
141	Iraj	50 %	7 minutes
142	rida	50 %	8 minutes 21 seconds
143	M Miqdam Haider	50 %	8 minutes 36 seconds
144	Mari	50 %	9 minutes 47 seconds
145	sadia	50 %	9 minutes 59 seconds
146	Najeeb Ahmed	50 %	10 minutes 36 seconds
147	Talha Bhatti	50 %	13 minutes 50 seconds
148	none	50 %	31 minutes 32 seconds
149	osaid	50 %	52 minutes 56 seconds
150	abdul hadi	50 %	1 hours 23 minutes 37 seconds
151	Dawood	45 %	27 seconds
152	Wardan Ahmed	45 %	37 seconds
153	1	45 %	1 minutes 34 seconds
154	GHULAM	45 %	1 minutes 58 seconds
155	Usama	45 %	2 minutes 5 seconds
156	iufudfud	45 %	2 minutes 9 seconds
157	Angel	45 %	2 minutes 19 seconds
158	Ggggg	45 %	2 minutes 27 seconds
159	Hhhh	45 %	2 minutes 35 seconds
160	Saif khan	45 %	2 minutes 56 seconds
161	Dileep	45 %	3 minutes 28 seconds
162	amna	45 %	3 minutes 47 seconds
163	..	45 %	4 minutes 20 seconds
164	peaky blinder	45 %	5 minutes 8 seconds
165	Siwiw	45 %	5 minutes 11 seconds
166	Muaz Rana	45 %	6 minutes 14 seconds
167	Muhammmad yahya	45 %	6 minutes 22 seconds
168	Ahmad	45 %	7 minutes 34 seconds
169	Muhammad Ali	45 %	7 minutes 52 seconds
170	Jawad	45 %	8 minutes 33 seconds
171	NONE OF YOU CONCERN	45 %	8 minutes 36 seconds
172	hi	45 %	9 minutes 5 seconds
173	Yahya Asad	45 %	12 minutes 31 seconds
174	rr	45 %	12 minutes 44 seconds
175	Haroon	45 %	14 minutes 19 seconds
176	Raj rathi	45 %	17 minutes 17 seconds
177	anand	45 %	17 minutes 35 seconds
178	Hafeezullah	45 %	21 minutes 49 seconds
179	Roshaan	45 %	44 minutes 6 seconds
180	Adnanh	45 %	59 minutes 58 seconds
181	Hamza Jadoon	45 %	1 hours 2 minutes 30 seconds
182	Wardan Ahmed	40 %	2 minutes 15 seconds
183	Muzammal	40 %	2 minutes 58 seconds
184	Fawad Jillani	40 %	3 minutes 5 seconds
185	Seemab	40 %	3 minutes 48 seconds
186	Haha	40 %	3 minutes 59 seconds
187	Momina hameed	40 %	4 minutes 2 seconds
188	Huzaifa ali	40 %	4 minutes 28 seconds
189	sms	40 %	6 minutes 53 seconds
190	Ahmad Ali	40 %	7 minutes 3 seconds
191	jj	40 %	7 minutes 18 seconds
192	MUHAMMAD NOMAN WAJID	40 %	7 minutes 21 seconds
193	Abdul Moeed	40 %	7 minutes 34 seconds
194	Maaz	40 %	7 minutes 52 seconds
195	ma	40 %	8 minutes 32 seconds
196	harram	40 %	9 minutes 58 seconds
197	Kashif Iqbal	40 %	11 minutes 16 seconds
198	anon	40 %	11 minutes 23 seconds
199	Fatima Ajmal	40 %	13 minutes 17 seconds
200	Najeeb Ahmed	40 %	13 minutes 40 seconds
201	jawad ahmed	40 %	13 minutes 50 seconds
202	TOUQEER ABBAS	40 %	14 minutes 22 seconds
203	.	40 %	15 minutes 19 seconds
204	Shifa Arif	40 %	15 minutes 30 seconds
205	rida	40 %	15 minutes 51 seconds
206	fawad	40 %	17 minutes 53 seconds
207	Saeed ullah shah	40 %	19 minutes 42 seconds
208	HIBA	35 %	37 seconds
209	Wardan Ahmed	35 %	44 seconds
210	Wardan Ahmed	35 %	48 seconds
211	Hamna	35 %	1 minutes 8 seconds
212	A	35 %	1 minutes 24 seconds
213	Qasim	35 %	1 minutes 31 seconds
214	Muhammad Momin Sajjad	35 %	1 minutes 50 seconds
215	Fizza	35 %	2 minutes 11 seconds
216	Sadam Hussain	35 %	2 minutes 14 seconds
217	Amir	35 %	2 minutes 24 seconds
218	Ali	35 %	3 minutes 6 seconds
219	Zakirullah	35 %	3 minutes 28 seconds
220	Jibrail	35 %	3 minutes 59 seconds
221	ALI MEHDI	35 %	4 minutes 1 seconds
222	Haseeb	35 %	4 minutes 12 seconds
223	madiha	35 %	4 minutes 28 seconds
224	arhum	35 %	4 minutes 28 seconds
225	arya	35 %	6 minutes 1 seconds
226	Muhammad Awais	35 %	6 minutes 2 seconds
227	maaz	35 %	6 minutes 19 seconds
228	Muhammad Ahmad	35 %	6 minutes 34 seconds
229	m	35 %	6 minutes 49 seconds
230	Furqan Ahmed	35 %	6 minutes 55 seconds
231	Zakirullah	35 %	7 minutes 8 seconds
232	Muhammad saad ur rehman	35 %	7 minutes 15 seconds
233	Dawood	35 %	7 minutes 24 seconds
234	Nn	35 %	7 minutes 29 seconds
235	rayan bilal	35 %	8 minutes 50 seconds
236	Azwa Mudassar	35 %	9 minutes 36 seconds
237	Naz	35 %	9 minutes 59 seconds
238	Wajiha	35 %	10 minutes 19 seconds
239	Ahmed Nafees	35 %	12 minutes 24 seconds
240	Fatima	35 %	12 minutes 38 seconds
241	Amber Mirza	35 %	13 minutes 8 seconds
242	sunila	35 %	13 minutes 13 seconds
243	Ayesha	35 %	13 minutes 53 seconds
244	Moiz	35 %	14 minutes 59 seconds
245	za	35 %	15 minutes 15 seconds
246	sded	35 %	16 minutes 7 seconds
247	Usman Malik	35 %	17 minutes 9 seconds
248	A.	35 %	17 minutes 33 seconds
249	Eman	35 %	19 minutes 15 seconds
250	YaSiR	35 %	24 minutes 13 seconds
251	Talha	35 %	25 minutes 12 seconds
252	eman	30 %	1 minutes 15 seconds
253	tashfeen	30 %	1 minutes 37 seconds
254	M Miqdam Haider	30 %	2 minutes 34 seconds
255	Abdullah umar	30 %	2 minutes 37 seconds
256	Muhammad Abu Zar	30 %	2 minutes 44 seconds
257	Rukhsh	30 %	2 minutes 46 seconds
258	Abdullah	30 %	2 minutes 52 seconds
259	Aniya	30 %	3 minutes 8 seconds
260	Ss	30 %	4 minutes 4 seconds
261	GHULAM JILANI	30 %	4 minutes 17 seconds
262	fiza	30 %	4 minutes 43 seconds
263	Rameez	30 %	4 minutes 44 seconds
264	Sohaib Hafeez	30 %	5 minutes 4 seconds
265	ahmar	30 %	5 minutes 34 seconds
266	Ubaid	30 %	5 minutes 54 seconds
267	Haseeb	30 %	6 minutes 4 seconds
268	Asma	30 %	6 minutes 15 seconds
269	Ayesha	30 %	6 minutes 23 seconds
270	Who cares	30 %	6 minutes 46 seconds
271	eshal	30 %	7 minutes 6 seconds
272	Syed Farrukh Shah	30 %	7 minutes 12 seconds
273	Arib	30 %	7 minutes 17 seconds
274	muhammad sohaib	30 %	8 minutes 10 seconds
275	Ahmad faiz khan	30 %	8 minutes 11 seconds
276	nemo	30 %	12 minutes 51 seconds
277	Faiq Waleed	30 %	12 minutes 52 seconds
278	Ismail Ismail	30 %	14 minutes 56 seconds
279	y	30 %	16 minutes 32 seconds
280	Muhammad musa	30 %	17 minutes 13 seconds
281	Zeeshanjaat	30 %	18 minutes 43 seconds
282	ume ayesha	30 %	22 minutes 30 seconds
283	Ggfgh	30 %	23 minutes 33 seconds
284	PLSBOOST	25 %	33 seconds
285	M.FAIZAN SAFDAR	25 %	2 minutes 4 seconds
286	M, Jahanzaib Khan	25 %	2 minutes 12 seconds
287	anaya noor	25 %	2 minutes 21 seconds
288	ehsan	25 %	2 minutes 36 seconds
289	H	25 %	2 minutes 38 seconds
290	Dawood	25 %	2 minutes 43 seconds
291	Kashif	25 %	3 minutes 13 seconds
292	H	25 %	3 minutes 29 seconds
293	my	25 %	4 minutes 15 seconds
294	Iqra	25 %	4 minutes 25 seconds
295	hassan	25 %	4 minutes 30 seconds
296	Muhammad Taha Khalid	25 %	4 minutes 40 seconds
297	Dilshad	25 %	4 minutes 55 seconds
298	Saad Khan	25 %	5 minutes 13 seconds
299	Bial	25 %	5 minutes 24 seconds
300	urwah	25 %	5 minutes 31 seconds
301	.	25 %	5 minutes 37 seconds
302	Abdullah	25 %	5 minutes 38 seconds
303	M Adnan	25 %	5 minutes 51 seconds
304	Muhammad Moeen	25 %	6 minutes 33 seconds
305	Mari	25 %	6 minutes 54 seconds
306	Muneeb	25 %	7 minutes 9 seconds
307	malika	25 %	7 minutes 25 seconds
308	Sadia	25 %	9 minutes 19 seconds
309	Adil	25 %	10 minutes 5 seconds
310	adnan ashiq	25 %	10 minutes 7 seconds
311	ridwan	25 %	13 minutes 23 seconds
312	T	25 %	18 minutes 27 seconds
313	sadaf	25 %	27 minutes 34 seconds
314	groots	25 %	29 minutes 39 seconds
315	Aydha	20 %	1 minutes 18 seconds
316	maliksubhan	20 %	1 minutes 30 seconds
317	aftab	20 %	2 minutes 12 seconds
318	R	20 %	2 minutes 23 seconds
319	Noor ul Huda	20 %	2 minutes 40 seconds
320	Ayesha	20 %	2 minutes 44 seconds
321	Muhammad Ali	20 %	3 minutes
322	Hasnain	20 %	3 minutes 2 seconds
323	Meerab Jawwad	20 %	3 minutes 9 seconds
324	Muhammad Musa Shahid	20 %	3 minutes 34 seconds
325	Jamil	20 %	3 minutes 56 seconds
326	Noor	20 %	4 minutes 3 seconds
327	Zmsox	20 %	4 minutes 53 seconds
328	Bilal	20 %	5 minutes 7 seconds
329	Hamza	20 %	6 minutes 19 seconds
330	kk	20 %	7 minutes 5 seconds
331	Mahad	20 %	8 minutes 5 seconds
332	Muhammad Essa Mahar	20 %	8 minutes 49 seconds
333	Sheharyar Khan	20 %	9 minutes 10 seconds
334	Wilayat Ali	20 %	9 minutes 53 seconds
335	Ubaidullah	20 %	10 minutes 58 seconds
336	Abdul Saboor	20 %	11 minutes 36 seconds
337	Daniyal	20 %	26 minutes 24 seconds
338	anaya noor	15 %	1 minutes 19 seconds
339	Annu	15 %	2 minutes 35 seconds
340	Elsa	15 %	2 minutes 57 seconds
341	R	15 %	2 minutes 58 seconds
342	Bilal	15 %	3 minutes 44 seconds
343	Abdullah abbas	15 %	4 minutes 7 seconds
344	Safi ullah	15 %	5 minutes 22 seconds
345	Sateedan	15 %	7 minutes 9 seconds
346	Abid ur Rahman	15 %	8 minutes 34 seconds
347	Fehria Zainab	15 %	13 minutes 11 seconds
348	Talha	10 %	2 minutes 21 seconds
349	Fatima Navaid	5 %	47 seconds
350	MUHAMMAD ABDULLAH	5 %	51 seconds
351	Amina	5 %	2 minutes 2 seconds
352	anaya noor	5 %	3 minutes
353	Name	5 %	8 minutes 3 seconds
354	abdullah umar	0 %	19 seconds
355	ISRAR ALI	0 %	25 seconds
356	azan ali shah	0 %	27 seconds
357	ali	0 %	52 seconds
358	Mahamfaryad	0 %	54 seconds
359	Alisha noor	0 %	1 minutes 9 seconds
360	Umer	0 %	1 minutes 29 seconds

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