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.

343

Created by PLS Academy

Mathematics Diagnostic Test

Topic: Mathematics Diagnostic Test

Quiz Contains: 20 MCQs

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1 / 20

2 sin² [a/2]=

1+cos a

1- cos a

1+sin a

1- sin a

2 / 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?

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

5 / 20

If cos x=-1 then solution set is

{pi}

{pi+npi}

{pi+2npi, n€Z}

None of these

6 / 20

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

-1

None of these

7 / 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

8 / 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)

9 / 20

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

12 / 20

Derivation of x3 w.r.t x2 is:

3x^2

None of these

13 / 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

14 / 20

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

15 / 20

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

2π

π /2

Non of these

16 / 20

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

(a) Real & distinct

(b) Imaginary & distinct

(d) Irrational and distinct

17 / 20

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

3/7

1/7

2/7

18 / 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})

19 / 20

Sin^-1 (-x) =…….

– Sin-1x

Sin-¹ x

π – Sin-1 x

π – Sin x

20 / 20

sin 15=?

√3 – 1 / 2√2

√3+1 / 2√2

√3 +1 / 2

√3 – 1 / 2

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

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